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arXiv · 2310.17960

Nodal and constant sign solutions for singular elliptic problems

Dumitru Motreanu·Abdelkrim Moussaoui
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Abstract

We establish the existence of multiple solutions for singular quasilinear elliptic problems with a precise sign information: two opposite constant sign solutions and a nodal solution. The approach combines sub-supersolutions method and Leray-Schauder topological degree involving perturbation argument.

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Dumitru Motreanu, Abdelkrim Moussaoui. 2023-10-27. Nodal and constant sign solutions for singular elliptic problems. https://arxiv.org/abs/2310.17960

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