The characters for integral equations system on exterior domain
In this paper, we are concerned with the integral equations system on exterior domain Ω 1 = ℜ n ∖ Ω ¯ with the suitable boundary conditions, where Ω ⊂ ℜ n (n ≥ 3) is the bounded connected open domain with ∂Ω ∈ C 1 and Ω 1 = ℜ n ∖ Ω ¯ . By combining the method of moving planes in integral forms with...
Ausführliche Beschreibung
Autor*in: |
Yin, Rong [verfasserIn] |
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Sprache: |
Englisch |
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2016 |
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Nutzungsrecht: © Author(s) |
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Enthalten in: Journal of mathematical physics - Melville, NY : American Institute of Physics, 1960, 57(2016), 10 |
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Übergeordnetes Werk: |
volume:57 ; year:2016 ; number:10 |
Links: |
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DOI / URN: |
10.1063/1.4966290 |
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OLC198392217X |
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10.1063/1.4966290 doi PQ20161201 (DE-627)OLC198392217X (DE-599)GBVOLC198392217X (PRQ)c1260-7ba6eae732f648b4d89dea480c5d3e894aa5122d2b0d95db4952b3eca6801a220 (KEY)0000548720160000057001000000charactersforintegralequationssystemonexteriordoma DE-627 ger DE-627 rakwb eng 530 510 DNB UA 4660 AVZ rvk Yin, Rong verfasserin aut The characters for integral equations system on exterior domain 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we are concerned with the integral equations system on exterior domain Ω 1 = ℜ n ∖ Ω ¯ with the suitable boundary conditions, where Ω ⊂ ℜ n (n ≥ 3) is the bounded connected open domain with ∂Ω ∈ C 1 and Ω 1 = ℜ n ∖ Ω ¯ . By combining the method of moving planes in integral forms with some new ideas, we obtain the radial symmetry for Ω and for a pair of positive solutions (u, v) of the integral equations system. Besides, we also deduce that u and v are both monotone increasing. Nutzungsrecht: © Author(s) Integral equations Boundary conditions Symmetry Zhang, Jihui oth Enthalten in Journal of mathematical physics Melville, NY : American Institute of Physics, 1960 57(2016), 10 (DE-627)129549703 (DE-600)219135-0 (DE-576)01500290X 0022-2488 nnns volume:57 year:2016 number:10 http://dx.doi.org/10.1063/1.4966290 Volltext http://dx.doi.org/10.1063/1.4966290 http://search.proquest.com/docview/1837533481 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 UA 4660 AR 57 2016 10 |
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10.1063/1.4966290 doi PQ20161201 (DE-627)OLC198392217X (DE-599)GBVOLC198392217X (PRQ)c1260-7ba6eae732f648b4d89dea480c5d3e894aa5122d2b0d95db4952b3eca6801a220 (KEY)0000548720160000057001000000charactersforintegralequationssystemonexteriordoma DE-627 ger DE-627 rakwb eng 530 510 DNB UA 4660 AVZ rvk Yin, Rong verfasserin aut The characters for integral equations system on exterior domain 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we are concerned with the integral equations system on exterior domain Ω 1 = ℜ n ∖ Ω ¯ with the suitable boundary conditions, where Ω ⊂ ℜ n (n ≥ 3) is the bounded connected open domain with ∂Ω ∈ C 1 and Ω 1 = ℜ n ∖ Ω ¯ . By combining the method of moving planes in integral forms with some new ideas, we obtain the radial symmetry for Ω and for a pair of positive solutions (u, v) of the integral equations system. Besides, we also deduce that u and v are both monotone increasing. Nutzungsrecht: © Author(s) Integral equations Boundary conditions Symmetry Zhang, Jihui oth Enthalten in Journal of mathematical physics Melville, NY : American Institute of Physics, 1960 57(2016), 10 (DE-627)129549703 (DE-600)219135-0 (DE-576)01500290X 0022-2488 nnns volume:57 year:2016 number:10 http://dx.doi.org/10.1063/1.4966290 Volltext http://dx.doi.org/10.1063/1.4966290 http://search.proquest.com/docview/1837533481 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 UA 4660 AR 57 2016 10 |
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10.1063/1.4966290 doi PQ20161201 (DE-627)OLC198392217X (DE-599)GBVOLC198392217X (PRQ)c1260-7ba6eae732f648b4d89dea480c5d3e894aa5122d2b0d95db4952b3eca6801a220 (KEY)0000548720160000057001000000charactersforintegralequationssystemonexteriordoma DE-627 ger DE-627 rakwb eng 530 510 DNB UA 4660 AVZ rvk Yin, Rong verfasserin aut The characters for integral equations system on exterior domain 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we are concerned with the integral equations system on exterior domain Ω 1 = ℜ n ∖ Ω ¯ with the suitable boundary conditions, where Ω ⊂ ℜ n (n ≥ 3) is the bounded connected open domain with ∂Ω ∈ C 1 and Ω 1 = ℜ n ∖ Ω ¯ . By combining the method of moving planes in integral forms with some new ideas, we obtain the radial symmetry for Ω and for a pair of positive solutions (u, v) of the integral equations system. Besides, we also deduce that u and v are both monotone increasing. Nutzungsrecht: © Author(s) Integral equations Boundary conditions Symmetry Zhang, Jihui oth Enthalten in Journal of mathematical physics Melville, NY : American Institute of Physics, 1960 57(2016), 10 (DE-627)129549703 (DE-600)219135-0 (DE-576)01500290X 0022-2488 nnns volume:57 year:2016 number:10 http://dx.doi.org/10.1063/1.4966290 Volltext http://dx.doi.org/10.1063/1.4966290 http://search.proquest.com/docview/1837533481 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 UA 4660 AR 57 2016 10 |
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10.1063/1.4966290 doi PQ20161201 (DE-627)OLC198392217X (DE-599)GBVOLC198392217X (PRQ)c1260-7ba6eae732f648b4d89dea480c5d3e894aa5122d2b0d95db4952b3eca6801a220 (KEY)0000548720160000057001000000charactersforintegralequationssystemonexteriordoma DE-627 ger DE-627 rakwb eng 530 510 DNB UA 4660 AVZ rvk Yin, Rong verfasserin aut The characters for integral equations system on exterior domain 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we are concerned with the integral equations system on exterior domain Ω 1 = ℜ n ∖ Ω ¯ with the suitable boundary conditions, where Ω ⊂ ℜ n (n ≥ 3) is the bounded connected open domain with ∂Ω ∈ C 1 and Ω 1 = ℜ n ∖ Ω ¯ . By combining the method of moving planes in integral forms with some new ideas, we obtain the radial symmetry for Ω and for a pair of positive solutions (u, v) of the integral equations system. Besides, we also deduce that u and v are both monotone increasing. Nutzungsrecht: © Author(s) Integral equations Boundary conditions Symmetry Zhang, Jihui oth Enthalten in Journal of mathematical physics Melville, NY : American Institute of Physics, 1960 57(2016), 10 (DE-627)129549703 (DE-600)219135-0 (DE-576)01500290X 0022-2488 nnns volume:57 year:2016 number:10 http://dx.doi.org/10.1063/1.4966290 Volltext http://dx.doi.org/10.1063/1.4966290 http://search.proquest.com/docview/1837533481 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 UA 4660 AR 57 2016 10 |
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10.1063/1.4966290 doi PQ20161201 (DE-627)OLC198392217X (DE-599)GBVOLC198392217X (PRQ)c1260-7ba6eae732f648b4d89dea480c5d3e894aa5122d2b0d95db4952b3eca6801a220 (KEY)0000548720160000057001000000charactersforintegralequationssystemonexteriordoma DE-627 ger DE-627 rakwb eng 530 510 DNB UA 4660 AVZ rvk Yin, Rong verfasserin aut The characters for integral equations system on exterior domain 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we are concerned with the integral equations system on exterior domain Ω 1 = ℜ n ∖ Ω ¯ with the suitable boundary conditions, where Ω ⊂ ℜ n (n ≥ 3) is the bounded connected open domain with ∂Ω ∈ C 1 and Ω 1 = ℜ n ∖ Ω ¯ . By combining the method of moving planes in integral forms with some new ideas, we obtain the radial symmetry for Ω and for a pair of positive solutions (u, v) of the integral equations system. Besides, we also deduce that u and v are both monotone increasing. Nutzungsrecht: © Author(s) Integral equations Boundary conditions Symmetry Zhang, Jihui oth Enthalten in Journal of mathematical physics Melville, NY : American Institute of Physics, 1960 57(2016), 10 (DE-627)129549703 (DE-600)219135-0 (DE-576)01500290X 0022-2488 nnns volume:57 year:2016 number:10 http://dx.doi.org/10.1063/1.4966290 Volltext http://dx.doi.org/10.1063/1.4966290 http://search.proquest.com/docview/1837533481 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 UA 4660 AR 57 2016 10 |
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abstract |
In this paper, we are concerned with the integral equations system on exterior domain Ω 1 = ℜ n ∖ Ω ¯ with the suitable boundary conditions, where Ω ⊂ ℜ n (n ≥ 3) is the bounded connected open domain with ∂Ω ∈ C 1 and Ω 1 = ℜ n ∖ Ω ¯ . By combining the method of moving planes in integral forms with some new ideas, we obtain the radial symmetry for Ω and for a pair of positive solutions (u, v) of the integral equations system. Besides, we also deduce that u and v are both monotone increasing. |
abstractGer |
In this paper, we are concerned with the integral equations system on exterior domain Ω 1 = ℜ n ∖ Ω ¯ with the suitable boundary conditions, where Ω ⊂ ℜ n (n ≥ 3) is the bounded connected open domain with ∂Ω ∈ C 1 and Ω 1 = ℜ n ∖ Ω ¯ . By combining the method of moving planes in integral forms with some new ideas, we obtain the radial symmetry for Ω and for a pair of positive solutions (u, v) of the integral equations system. Besides, we also deduce that u and v are both monotone increasing. |
abstract_unstemmed |
In this paper, we are concerned with the integral equations system on exterior domain Ω 1 = ℜ n ∖ Ω ¯ with the suitable boundary conditions, where Ω ⊂ ℜ n (n ≥ 3) is the bounded connected open domain with ∂Ω ∈ C 1 and Ω 1 = ℜ n ∖ Ω ¯ . By combining the method of moving planes in integral forms with some new ideas, we obtain the radial symmetry for Ω and for a pair of positive solutions (u, v) of the integral equations system. Besides, we also deduce that u and v are both monotone increasing. |
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title_short |
The characters for integral equations system on exterior domain |
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http://dx.doi.org/10.1063/1.4966290 http://search.proquest.com/docview/1837533481 |
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Zhang, Jihui |
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