A Radó theorem for p-harmonic functions
Abstract Let A be a nonlinear differential operator on an open set %$\mathcal {X}\subset \mathbb {R}^n%$ and %$\mathcal {S}%$ a closed subset of %$\mathcal {X}%$. Given a class %$\mathcal {F}%$ of functions in %$\mathcal {X}%$, the set %$\mathcal {S}%$ is said to be removable for %$\mathcal {F}%$ re...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Ly, Ibrahim [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Anmerkung: |
© Sociedad Matemática Mexicana 2016 |
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| Übergeordnetes Werk: |
Enthalten in: Boletin de la Sociedad Matemática Mexicana - New York [u.a.] : Springer International, 2014, 22(2016), 2 vom: 07. März, Seite 461-472 |
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| Übergeordnetes Werk: |
volume:22 ; year:2016 ; number:2 ; day:07 ; month:03 ; pages:461-472 |
| Links: |
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| DOI / URN: |
10.1007/s40590-016-0109-7 |
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| Katalog-ID: |
SPR036690929 |
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| 100 | 1 | |a Ly, Ibrahim |e verfasserin |4 aut | |
| 245 | 1 | 2 | |a A Radó theorem for p-harmonic functions |
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| 520 | |a Abstract Let A be a nonlinear differential operator on an open set %$\mathcal {X}\subset \mathbb {R}^n%$ and %$\mathcal {S}%$ a closed subset of %$\mathcal {X}%$. Given a class %$\mathcal {F}%$ of functions in %$\mathcal {X}%$, the set %$\mathcal {S}%$ is said to be removable for %$\mathcal {F}%$ relative to A if any weak solution of %$A (u) = 0%$ in %$\mathcal {X}{\setminus } \mathcal {S}%$ of class %$\mathcal {F}%$ satisfies this equation weakly in all of %$\mathcal {X}%$. For the most extensively studied classes %$\mathcal {F}%$, we show conditions on %$\mathcal {S}%$ which guarantee that %$\mathcal {S}%$ is removable for %$\mathcal {F}%$ relative to A. | ||
| 650 | 4 | |a Quasilinear equations |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Removable sets |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -Laplace equation |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Tarkhanov, Nikolai |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Boletin de la Sociedad Matemática Mexicana |d New York [u.a.] : Springer International, 2014 |g 22(2016), 2 vom: 07. März, Seite 461-472 |w (DE-627)779395166 |w (DE-600)2757902-5 |x 2296-4495 |7 nnns |
| 773 | 1 | 8 | |g volume:22 |g year:2016 |g number:2 |g day:07 |g month:03 |g pages:461-472 |
| 856 | 4 | 0 | |u https://dx.doi.org/10.1007/s40590-016-0109-7 |z lizenzpflichtig |3 Volltext |
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2016 |
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10.1007/s40590-016-0109-7 doi (DE-627)SPR036690929 (SPR)s40590-016-0109-7-e DE-627 ger DE-627 rakwb eng Ly, Ibrahim verfasserin aut A Radó theorem for p-harmonic functions 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Sociedad Matemática Mexicana 2016 Abstract Let A be a nonlinear differential operator on an open set %$\mathcal {X}\subset \mathbb {R}^n%$ and %$\mathcal {S}%$ a closed subset of %$\mathcal {X}%$. Given a class %$\mathcal {F}%$ of functions in %$\mathcal {X}%$, the set %$\mathcal {S}%$ is said to be removable for %$\mathcal {F}%$ relative to A if any weak solution of %$A (u) = 0%$ in %$\mathcal {X}{\setminus } \mathcal {S}%$ of class %$\mathcal {F}%$ satisfies this equation weakly in all of %$\mathcal {X}%$. For the most extensively studied classes %$\mathcal {F}%$, we show conditions on %$\mathcal {S}%$ which guarantee that %$\mathcal {S}%$ is removable for %$\mathcal {F}%$ relative to A. Quasilinear equations (dpeaa)DE-He213 Removable sets (dpeaa)DE-He213 -Laplace equation (dpeaa)DE-He213 Tarkhanov, Nikolai aut Enthalten in Boletin de la Sociedad Matemática Mexicana New York [u.a.] : Springer International, 2014 22(2016), 2 vom: 07. März, Seite 461-472 (DE-627)779395166 (DE-600)2757902-5 2296-4495 nnns volume:22 year:2016 number:2 day:07 month:03 pages:461-472 https://dx.doi.org/10.1007/s40590-016-0109-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 22 2016 2 07 03 461-472 |
| spelling |
10.1007/s40590-016-0109-7 doi (DE-627)SPR036690929 (SPR)s40590-016-0109-7-e DE-627 ger DE-627 rakwb eng Ly, Ibrahim verfasserin aut A Radó theorem for p-harmonic functions 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Sociedad Matemática Mexicana 2016 Abstract Let A be a nonlinear differential operator on an open set %$\mathcal {X}\subset \mathbb {R}^n%$ and %$\mathcal {S}%$ a closed subset of %$\mathcal {X}%$. Given a class %$\mathcal {F}%$ of functions in %$\mathcal {X}%$, the set %$\mathcal {S}%$ is said to be removable for %$\mathcal {F}%$ relative to A if any weak solution of %$A (u) = 0%$ in %$\mathcal {X}{\setminus } \mathcal {S}%$ of class %$\mathcal {F}%$ satisfies this equation weakly in all of %$\mathcal {X}%$. For the most extensively studied classes %$\mathcal {F}%$, we show conditions on %$\mathcal {S}%$ which guarantee that %$\mathcal {S}%$ is removable for %$\mathcal {F}%$ relative to A. Quasilinear equations (dpeaa)DE-He213 Removable sets (dpeaa)DE-He213 -Laplace equation (dpeaa)DE-He213 Tarkhanov, Nikolai aut Enthalten in Boletin de la Sociedad Matemática Mexicana New York [u.a.] : Springer International, 2014 22(2016), 2 vom: 07. März, Seite 461-472 (DE-627)779395166 (DE-600)2757902-5 2296-4495 nnns volume:22 year:2016 number:2 day:07 month:03 pages:461-472 https://dx.doi.org/10.1007/s40590-016-0109-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 22 2016 2 07 03 461-472 |
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10.1007/s40590-016-0109-7 doi (DE-627)SPR036690929 (SPR)s40590-016-0109-7-e DE-627 ger DE-627 rakwb eng Ly, Ibrahim verfasserin aut A Radó theorem for p-harmonic functions 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Sociedad Matemática Mexicana 2016 Abstract Let A be a nonlinear differential operator on an open set %$\mathcal {X}\subset \mathbb {R}^n%$ and %$\mathcal {S}%$ a closed subset of %$\mathcal {X}%$. Given a class %$\mathcal {F}%$ of functions in %$\mathcal {X}%$, the set %$\mathcal {S}%$ is said to be removable for %$\mathcal {F}%$ relative to A if any weak solution of %$A (u) = 0%$ in %$\mathcal {X}{\setminus } \mathcal {S}%$ of class %$\mathcal {F}%$ satisfies this equation weakly in all of %$\mathcal {X}%$. For the most extensively studied classes %$\mathcal {F}%$, we show conditions on %$\mathcal {S}%$ which guarantee that %$\mathcal {S}%$ is removable for %$\mathcal {F}%$ relative to A. Quasilinear equations (dpeaa)DE-He213 Removable sets (dpeaa)DE-He213 -Laplace equation (dpeaa)DE-He213 Tarkhanov, Nikolai aut Enthalten in Boletin de la Sociedad Matemática Mexicana New York [u.a.] : Springer International, 2014 22(2016), 2 vom: 07. März, Seite 461-472 (DE-627)779395166 (DE-600)2757902-5 2296-4495 nnns volume:22 year:2016 number:2 day:07 month:03 pages:461-472 https://dx.doi.org/10.1007/s40590-016-0109-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 22 2016 2 07 03 461-472 |
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10.1007/s40590-016-0109-7 doi (DE-627)SPR036690929 (SPR)s40590-016-0109-7-e DE-627 ger DE-627 rakwb eng Ly, Ibrahim verfasserin aut A Radó theorem for p-harmonic functions 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Sociedad Matemática Mexicana 2016 Abstract Let A be a nonlinear differential operator on an open set %$\mathcal {X}\subset \mathbb {R}^n%$ and %$\mathcal {S}%$ a closed subset of %$\mathcal {X}%$. Given a class %$\mathcal {F}%$ of functions in %$\mathcal {X}%$, the set %$\mathcal {S}%$ is said to be removable for %$\mathcal {F}%$ relative to A if any weak solution of %$A (u) = 0%$ in %$\mathcal {X}{\setminus } \mathcal {S}%$ of class %$\mathcal {F}%$ satisfies this equation weakly in all of %$\mathcal {X}%$. For the most extensively studied classes %$\mathcal {F}%$, we show conditions on %$\mathcal {S}%$ which guarantee that %$\mathcal {S}%$ is removable for %$\mathcal {F}%$ relative to A. Quasilinear equations (dpeaa)DE-He213 Removable sets (dpeaa)DE-He213 -Laplace equation (dpeaa)DE-He213 Tarkhanov, Nikolai aut Enthalten in Boletin de la Sociedad Matemática Mexicana New York [u.a.] : Springer International, 2014 22(2016), 2 vom: 07. März, Seite 461-472 (DE-627)779395166 (DE-600)2757902-5 2296-4495 nnns volume:22 year:2016 number:2 day:07 month:03 pages:461-472 https://dx.doi.org/10.1007/s40590-016-0109-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 22 2016 2 07 03 461-472 |
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10.1007/s40590-016-0109-7 doi (DE-627)SPR036690929 (SPR)s40590-016-0109-7-e DE-627 ger DE-627 rakwb eng Ly, Ibrahim verfasserin aut A Radó theorem for p-harmonic functions 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Sociedad Matemática Mexicana 2016 Abstract Let A be a nonlinear differential operator on an open set %$\mathcal {X}\subset \mathbb {R}^n%$ and %$\mathcal {S}%$ a closed subset of %$\mathcal {X}%$. Given a class %$\mathcal {F}%$ of functions in %$\mathcal {X}%$, the set %$\mathcal {S}%$ is said to be removable for %$\mathcal {F}%$ relative to A if any weak solution of %$A (u) = 0%$ in %$\mathcal {X}{\setminus } \mathcal {S}%$ of class %$\mathcal {F}%$ satisfies this equation weakly in all of %$\mathcal {X}%$. For the most extensively studied classes %$\mathcal {F}%$, we show conditions on %$\mathcal {S}%$ which guarantee that %$\mathcal {S}%$ is removable for %$\mathcal {F}%$ relative to A. Quasilinear equations (dpeaa)DE-He213 Removable sets (dpeaa)DE-He213 -Laplace equation (dpeaa)DE-He213 Tarkhanov, Nikolai aut Enthalten in Boletin de la Sociedad Matemática Mexicana New York [u.a.] : Springer International, 2014 22(2016), 2 vom: 07. März, Seite 461-472 (DE-627)779395166 (DE-600)2757902-5 2296-4495 nnns volume:22 year:2016 number:2 day:07 month:03 pages:461-472 https://dx.doi.org/10.1007/s40590-016-0109-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 22 2016 2 07 03 461-472 |
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English |
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Enthalten in Boletin de la Sociedad Matemática Mexicana 22(2016), 2 vom: 07. März, Seite 461-472 volume:22 year:2016 number:2 day:07 month:03 pages:461-472 |
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Enthalten in Boletin de la Sociedad Matemática Mexicana 22(2016), 2 vom: 07. März, Seite 461-472 volume:22 year:2016 number:2 day:07 month:03 pages:461-472 |
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A Radó theorem for p-harmonic functions Quasilinear equations (dpeaa)DE-He213 Removable sets (dpeaa)DE-He213 -Laplace equation (dpeaa)DE-He213 |
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radó theorem for p-harmonic functions |
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A Radó theorem for p-harmonic functions |
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Abstract Let A be a nonlinear differential operator on an open set %$\mathcal {X}\subset \mathbb {R}^n%$ and %$\mathcal {S}%$ a closed subset of %$\mathcal {X}%$. Given a class %$\mathcal {F}%$ of functions in %$\mathcal {X}%$, the set %$\mathcal {S}%$ is said to be removable for %$\mathcal {F}%$ relative to A if any weak solution of %$A (u) = 0%$ in %$\mathcal {X}{\setminus } \mathcal {S}%$ of class %$\mathcal {F}%$ satisfies this equation weakly in all of %$\mathcal {X}%$. For the most extensively studied classes %$\mathcal {F}%$, we show conditions on %$\mathcal {S}%$ which guarantee that %$\mathcal {S}%$ is removable for %$\mathcal {F}%$ relative to A. © Sociedad Matemática Mexicana 2016 |
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Abstract Let A be a nonlinear differential operator on an open set %$\mathcal {X}\subset \mathbb {R}^n%$ and %$\mathcal {S}%$ a closed subset of %$\mathcal {X}%$. Given a class %$\mathcal {F}%$ of functions in %$\mathcal {X}%$, the set %$\mathcal {S}%$ is said to be removable for %$\mathcal {F}%$ relative to A if any weak solution of %$A (u) = 0%$ in %$\mathcal {X}{\setminus } \mathcal {S}%$ of class %$\mathcal {F}%$ satisfies this equation weakly in all of %$\mathcal {X}%$. For the most extensively studied classes %$\mathcal {F}%$, we show conditions on %$\mathcal {S}%$ which guarantee that %$\mathcal {S}%$ is removable for %$\mathcal {F}%$ relative to A. © Sociedad Matemática Mexicana 2016 |
| abstract_unstemmed |
Abstract Let A be a nonlinear differential operator on an open set %$\mathcal {X}\subset \mathbb {R}^n%$ and %$\mathcal {S}%$ a closed subset of %$\mathcal {X}%$. Given a class %$\mathcal {F}%$ of functions in %$\mathcal {X}%$, the set %$\mathcal {S}%$ is said to be removable for %$\mathcal {F}%$ relative to A if any weak solution of %$A (u) = 0%$ in %$\mathcal {X}{\setminus } \mathcal {S}%$ of class %$\mathcal {F}%$ satisfies this equation weakly in all of %$\mathcal {X}%$. For the most extensively studied classes %$\mathcal {F}%$, we show conditions on %$\mathcal {S}%$ which guarantee that %$\mathcal {S}%$ is removable for %$\mathcal {F}%$ relative to A. © Sociedad Matemática Mexicana 2016 |
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