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arXiv · 2510.25568

Three solutions with precise sign properties for Gierer-Meinhardt type system

Abdelkrim Moussaoui
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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.

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Abdelkrim Moussaoui. 2025-10-29. Three solutions with precise sign properties for Gierer-Meinhardt type system. https://arxiv.org/abs/2510.25568

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