Bifurcation results for nonlinear eigenvalue problems involving the (p,q)-Laplace operator
Analysis of PDEs
2022-10-20 v1
Abstract
In this paper, we analyze an eigenvalue problem for nonlinear elliptic operators involving homogeneous Dirichlet boundary conditions in a open smooth bounded domain. We prove bifurcation results from trivial solutions and from infinity for the considered nonlinear eigenvalue problem. We also show the existence of multiple solutions of the nonlinear problem using variational methods.
Cite
@article{arxiv.2210.10174,
title = {Bifurcation results for nonlinear eigenvalue problems involving the (p,q)-Laplace operator},
author = {Emmanuel Wend-Benedo Zongo and Bernhard Ruf},
journal= {arXiv preprint arXiv:2210.10174},
year = {2022}
}
Comments
26 pages, 1 figure