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arXiv · 2306.16742

Nodal solutions with synchronous sign changing components and Constant sign solutions for singular Gierer-Meinhardt type system

Abdelkrim Moussaoui
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Abstract

We establish the existence of three solutions for singular semilinear elliptic system, two of which are of opposite constant-sign. Under a strong singularity effect, 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. 2023-06-29. Nodal solutions with synchronous sign changing components and Constant sign solutions for singular Gierer-Meinhardt type system. https://arxiv.org/abs/2306.16742

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