Multiple solutions for a weighted $p$-Laplacian problem

Rohit Kumar; Abhishek Sarkar

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arXiv · 2207.04462

Multiple solutions for a weighted $p$-Laplacian problem

Rohit Kumar·Abhishek Sarkar

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Abstract

We prove the existence of at least three solutions for a weighted $p$-Laplacian operator involving Dirichlet boundary condition in a weighted Sobolev space. The main tool we use here is a three solution theorem in reflexive Banach spaces due to G. Bonanno and B. Ricceri.

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Rohit Kumar, Abhishek Sarkar. 2022-07-10. Multiple solutions for a weighted $p$-Laplacian problem. https://arxiv.org/abs/2207.04462

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