2021 UNC Greensboro PDE Conference.
Electron. J. Diff. Eqns., Conference 26 (2022), pp. 115-122.

Title: Multiple solutions for a weighted p-Laplacian problem

Authors: Rohit Kumar (IIT Jodhpur, India)
         Abhishek Sarkar (IIT Jodhpur, India)
 
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. 

Published August 25, 2022.
Math Subject Classifications: 35B38, 35J62, 35J92.
Key Words: Weighted p-Laplacian; weighted Sobolev space; critical points.