Calculus of Variations and Geometric Measure Theory

R. Kumar - A. Sarkar

MULTIPLE SOLUTIONS FOR A WEIGHTED p-LAPLACIAN PROBLEM

created by kumar2 on 03 Feb 2024

[BibTeX]

Proceedings

Inserted: 3 feb 2024
Last Updated: 3 feb 2024

Journal: EJDE-2022/CONF/26
Volume: Conference 26 (2022)
Pages: pp. 115-122
Year: 2022
Doi: https://doi.org/10.58997/ejde.conf.26.k1

ArXiv: 2207.04462 PDF
Links: https://ejde.math.txstate.edu/

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 Bonanno and Ricceri.

Keywords: Weighted p-Laplacian; weighted Sobolev space; critical points