Nodal solutions with synchronous sign changing components and Constant sign solutions for singular Gierer-Meinhardt type system
Analysis of PDEs
2023-06-30 v1
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.
Keywords
Cite
@article{arxiv.2306.16742,
title = {Nodal solutions with synchronous sign changing components and Constant sign solutions for singular Gierer-Meinhardt type system},
author = {Abdelkrim Moussaoui},
journal= {arXiv preprint arXiv:2306.16742},
year = {2023}
}