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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| Language: | English |
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De Gruyter
2017-07-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2017-0034 |
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doaj-011886c7f29144df906b7d2dc97351da2021-09-06T19:39:55ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2017-07-018160361410.1515/anona-2017-0034anona-2017-0034Multiple solutions for an elliptic system with indefinite Robin boundary conditionsAmster Pablo0Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires; and IMAS – CONICET, Ciudad Universitaria, Pabellón I, 1428Buenos Aires, ArgentinaMultiplicity 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.https://doi.org/10.1515/anona-2017-0034nonlinear elliptic systemsindefinite robin conditionmultiplicity of solutionstopological degree35j57 35j60 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Amster Pablo |
| spellingShingle |
Amster Pablo Multiple solutions for an elliptic system with indefinite Robin boundary conditions Advances in Nonlinear Analysis nonlinear elliptic systems indefinite robin condition multiplicity of solutions topological degree 35j57 35j60 |
| author_facet |
Amster Pablo |
| author_sort |
Amster Pablo |
| 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 |
| publisher |
De Gruyter |
| series |
Advances in Nonlinear Analysis |
| issn |
2191-9496 2191-950X |
| publishDate |
2017-07-01 |
| 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. |
| topic |
nonlinear elliptic systems indefinite robin condition multiplicity of solutions topological degree 35j57 35j60 |
| url |
https://doi.org/10.1515/anona-2017-0034 |
| work_keys_str_mv |
AT amsterpablo multiplesolutionsforanellipticsystemwithindefiniterobinboundaryconditions |
| _version_ |
1717769744538402816 |