Multiple solutions for a weighted p-Laplacian problem

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. For more information see https://ejd...

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Bibliographic Details
Published inElectronic journal of differential equations Vol. Conference; no. Conference 26; pp. 115 - 122
Main Authors Kumar, Rohit, Sarkar, Abhishek
Format Journal Article
LanguageEnglish
Published Texas State University 25.08.2022
Subjects
critical points
weighted p-laplacian
weighted sobolev space
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Summary: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. For more information see https://ejde.math.txstate.edu/conf-proc/26/k1/abstr.html
ISSN:1072-6691
1072-6691
DOI:10.58997/ejde.conf.26.k1