Three solutions with precise sign properties for Gierer-Meinhardt type system
Analysis of PDEs
2025-10-30 v1
Abstract
We establish the existence of three solutions for sign-coupled Gierer-Meinhardt type system with Neumann boundary conditions. Two solutions are of opposite constant-sign while the third solution is nodal with synchronous sign components. The approach combines sub-supersolutions method and Leray-Schauder topological degree involving perturbation argument.
Keywords
Cite
@article{arxiv.2510.25568,
title = {Three solutions with precise sign properties for Gierer-Meinhardt type system},
author = {Abdelkrim Moussaoui},
journal= {arXiv preprint arXiv:2510.25568},
year = {2025}
}