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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Publicado: 2019
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_21919496_v8_n1_p603_Amster
http://hdl.handle.net/20.500.12110/paper_21919496_v8_n1_p603_Amster
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Sumario: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.