Fixed points of maps and nontrivial weak solutions to a class of nonlinear strongly coupled elliptic systems
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916296213397504 |
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| author | Le, Dung |
| author_facet | Le, Dung |
| contents | Local indices at isolated fixed points of a differentiable compact nonlinear map $T$ on Banach spaces will be discussed. These results are applied to establish the existence of nontrivial solutions. As an example, the existence of nontrivial weak solutions to a class of nonlinear strongly coupled elliptic systems of two equations will also be studied. A bifurcation phenomenon due to cross-diffusion is reported. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10171 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fixed points of maps and nontrivial weak solutions to a class of nonlinear strongly coupled elliptic systems Le, Dung Analysis of PDEs 35J70, 35B65, 42B37 Local indices at isolated fixed points of a differentiable compact nonlinear map $T$ on Banach spaces will be discussed. These results are applied to establish the existence of nontrivial solutions. As an example, the existence of nontrivial weak solutions to a class of nonlinear strongly coupled elliptic systems of two equations will also be studied. A bifurcation phenomenon due to cross-diffusion is reported. |
| title | Fixed points of maps and nontrivial weak solutions to a class of nonlinear strongly coupled elliptic systems |
| topic | Analysis of PDEs 35J70, 35B65, 42B37 |
| url | https://arxiv.org/abs/2405.10171 |