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arXiv · 2405.10171

Fixed points of maps and nontrivial weak solutions to a class of nonlinear strongly coupled elliptic systems

Dung Le
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Abstract

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.

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Dung Le. 2024-05-16. Fixed points of maps and nontrivial weak solutions to a class of nonlinear strongly coupled elliptic systems. https://arxiv.org/abs/2405.10171

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