Fixed points of maps and nontrivial weak solutions to a class of nonlinear strongly coupled elliptic systems
Analysis of PDEs
2024-06-24 v2
Abstract
Local indices at isolated fixed points of a differentiable compact nonlinear map 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.
Cite
@article{arxiv.2405.10171,
title = {Fixed points of maps and nontrivial weak solutions to a class of nonlinear strongly coupled elliptic systems},
author = {Dung Le},
journal= {arXiv preprint arXiv:2405.10171},
year = {2024}
}
Comments
need major revision