A class of degenerate elliptic eigenvalue problems
We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable. We derive a strong maximum principle and show uniqueness of the first eigenfunction. Moreover we prove the existence of a seq...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Lucia, Marcello [verfasserIn] Schuricht, Friedemann [verfasserIn] |
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| Format: |
E-Artikel |
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| Erschienen: |
Walter de Gruyter GmbH ; 2013 |
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| Schlagwörter: |
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| Umfang: |
35 |
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| Reproduktion: |
Walter de Gruyter Online Zeitschriften |
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| Übergeordnetes Werk: |
Enthalten in: Advances in nonlinear analysis - Berlin : de Gruyter, 2012, 2(2013), 1 vom: 01. Feb., Seite 91-125 |
| Übergeordnetes Werk: |
volume:2 ; year:2013 ; number:1 ; day:01 ; month:02 ; pages:91-125 ; extent:35 |
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| DOI / URN: |
10.1515/anona-2012-0202 |
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NLEJ246429321 |
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| 520 | |a We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable. We derive a strong maximum principle and show uniqueness of the first eigenfunction. Moreover we prove the existence of a sequence of eigensolutions by using a critical point theory in metric spaces. Our results extend the eigenvalue problem of the p-Laplace operator to a much more general setting. | ||
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10.1515/anona-2012-0202 doi artikel_Grundlieferung.pp (DE-627)NLEJ246429321 DE-627 ger DE-627 rakwb Lucia, Marcello verfasserin aut A class of degenerate elliptic eigenvalue problems Walter de Gruyter GmbH 2013 35 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable. We derive a strong maximum principle and show uniqueness of the first eigenfunction. Moreover we prove the existence of a sequence of eigensolutions by using a critical point theory in metric spaces. Our results extend the eigenvalue problem of the p-Laplace operator to a much more general setting. Walter de Gruyter Online Zeitschriften Nonlinear eigenvalue problems quasilinear elliptic equations critical point theory convex analysis nonsmooth analysis Schuricht, Friedemann verfasserin aut Enthalten in Advances in nonlinear analysis Berlin : de Gruyter, 2012 2(2013), 1 vom: 01. Feb., Seite 91-125 (DE-627)NLEJ248235001 (DE-600)2645915-2 2191-950X nnns volume:2 year:2013 number:1 day:01 month:02 pages:91-125 extent:35 https://doi.org/10.1515/anona-2012-0202 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 2 2013 1 01 02 91-125 35 |
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10.1515/anona-2012-0202 doi artikel_Grundlieferung.pp (DE-627)NLEJ246429321 DE-627 ger DE-627 rakwb Lucia, Marcello verfasserin aut A class of degenerate elliptic eigenvalue problems Walter de Gruyter GmbH 2013 35 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable. We derive a strong maximum principle and show uniqueness of the first eigenfunction. Moreover we prove the existence of a sequence of eigensolutions by using a critical point theory in metric spaces. Our results extend the eigenvalue problem of the p-Laplace operator to a much more general setting. Walter de Gruyter Online Zeitschriften Nonlinear eigenvalue problems quasilinear elliptic equations critical point theory convex analysis nonsmooth analysis Schuricht, Friedemann verfasserin aut Enthalten in Advances in nonlinear analysis Berlin : de Gruyter, 2012 2(2013), 1 vom: 01. Feb., Seite 91-125 (DE-627)NLEJ248235001 (DE-600)2645915-2 2191-950X nnns volume:2 year:2013 number:1 day:01 month:02 pages:91-125 extent:35 https://doi.org/10.1515/anona-2012-0202 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 2 2013 1 01 02 91-125 35 |
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10.1515/anona-2012-0202 doi artikel_Grundlieferung.pp (DE-627)NLEJ246429321 DE-627 ger DE-627 rakwb Lucia, Marcello verfasserin aut A class of degenerate elliptic eigenvalue problems Walter de Gruyter GmbH 2013 35 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable. We derive a strong maximum principle and show uniqueness of the first eigenfunction. Moreover we prove the existence of a sequence of eigensolutions by using a critical point theory in metric spaces. Our results extend the eigenvalue problem of the p-Laplace operator to a much more general setting. Walter de Gruyter Online Zeitschriften Nonlinear eigenvalue problems quasilinear elliptic equations critical point theory convex analysis nonsmooth analysis Schuricht, Friedemann verfasserin aut Enthalten in Advances in nonlinear analysis Berlin : de Gruyter, 2012 2(2013), 1 vom: 01. Feb., Seite 91-125 (DE-627)NLEJ248235001 (DE-600)2645915-2 2191-950X nnns volume:2 year:2013 number:1 day:01 month:02 pages:91-125 extent:35 https://doi.org/10.1515/anona-2012-0202 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 2 2013 1 01 02 91-125 35 |
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10.1515/anona-2012-0202 doi artikel_Grundlieferung.pp (DE-627)NLEJ246429321 DE-627 ger DE-627 rakwb Lucia, Marcello verfasserin aut A class of degenerate elliptic eigenvalue problems Walter de Gruyter GmbH 2013 35 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable. We derive a strong maximum principle and show uniqueness of the first eigenfunction. Moreover we prove the existence of a sequence of eigensolutions by using a critical point theory in metric spaces. Our results extend the eigenvalue problem of the p-Laplace operator to a much more general setting. Walter de Gruyter Online Zeitschriften Nonlinear eigenvalue problems quasilinear elliptic equations critical point theory convex analysis nonsmooth analysis Schuricht, Friedemann verfasserin aut Enthalten in Advances in nonlinear analysis Berlin : de Gruyter, 2012 2(2013), 1 vom: 01. Feb., Seite 91-125 (DE-627)NLEJ248235001 (DE-600)2645915-2 2191-950X nnns volume:2 year:2013 number:1 day:01 month:02 pages:91-125 extent:35 https://doi.org/10.1515/anona-2012-0202 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 2 2013 1 01 02 91-125 35 |
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We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable. We derive a strong maximum principle and show uniqueness of the first eigenfunction. Moreover we prove the existence of a sequence of eigensolutions by using a critical point theory in metric spaces. Our results extend the eigenvalue problem of the p-Laplace operator to a much more general setting. |
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We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable. We derive a strong maximum principle and show uniqueness of the first eigenfunction. Moreover we prove the existence of a sequence of eigensolutions by using a critical point theory in metric spaces. Our results extend the eigenvalue problem of the p-Laplace operator to a much more general setting. |
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We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable. We derive a strong maximum principle and show uniqueness of the first eigenfunction. Moreover we prove the existence of a sequence of eigensolutions by using a critical point theory in metric spaces. Our results extend the eigenvalue problem of the p-Laplace operator to a much more general setting. |
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