Multiple solutions for an elliptic system with indefinite Robin boundary conditions

Multiplicity of solutions is proved for an elliptic system with an indefinite Robin boundary condition under an assumption that links the linearisation at 0 and the eigenvalues of the associated linear scalar operator. Our result is based on a precise calculation of the topological degree of a suita...

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Detalles Bibliográficos
Autor principal: Amster, P.
Formato: JOUR
Materias:
indefinite Robin condition
multiplicity of solutions
Nonlinear elliptic systems
topological degree
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_21919496_v8_n1_p603_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_21919496_v8_n1_p603_Amster
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spelling todo:paper_21919496_v8_n1_p603_Amster2023-10-03T16:40:20Z Multiple solutions for an elliptic system with indefinite Robin boundary conditions Amster, P. indefinite Robin condition multiplicity of solutions Nonlinear elliptic systems topological degree Multiplicity of solutions is proved for an elliptic system with an indefinite Robin boundary condition under an assumption that links the linearisation at 0 and the eigenvalues of the associated linear scalar operator. Our result is based on a precise calculation of the topological degree of a suitable fixed point operator over large and small balls. © 2019 Walter de Gruyter GmbH, Berlin/Boston 2019. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_21919496_v8_n1_p603_Amster
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic indefinite Robin condition
multiplicity of solutions
Nonlinear elliptic systems
topological degree
spellingShingle indefinite Robin condition
multiplicity of solutions
Nonlinear elliptic systems
topological degree
Amster, P.
Multiple solutions for an elliptic system with indefinite Robin boundary conditions
topic_facet indefinite Robin condition
multiplicity of solutions
Nonlinear elliptic systems
topological degree
description Multiplicity of solutions is proved for an elliptic system with an indefinite Robin boundary condition under an assumption that links the linearisation at 0 and the eigenvalues of the associated linear scalar operator. Our result is based on a precise calculation of the topological degree of a suitable fixed point operator over large and small balls. © 2019 Walter de Gruyter GmbH, Berlin/Boston 2019.
format JOUR
author Amster, P.
author_facet Amster, P.
author_sort Amster, P.
title Multiple solutions for an elliptic system with indefinite Robin boundary conditions
title_short Multiple solutions for an elliptic system with indefinite Robin boundary conditions
title_full Multiple solutions for an elliptic system with indefinite Robin boundary conditions
title_fullStr Multiple solutions for an elliptic system with indefinite Robin boundary conditions
title_full_unstemmed Multiple solutions for an elliptic system with indefinite Robin boundary conditions
title_sort multiple solutions for an elliptic system with indefinite robin boundary conditions
url http://hdl.handle.net/20.500.12110/paper_21919496_v8_n1_p603_Amster
work_keys_str_mv AT amsterp multiplesolutionsforanellipticsystemwithindefiniterobinboundaryconditions
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