Bifurcation results for nonlinear eigenvalue problems involving the (p,q)-Laplace operator

Emmanuel Wend-Benedo Zongo; Bernhard Ruf

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arXiv · 2210.10174

Bifurcation results for nonlinear eigenvalue problems involving the (p,q)-Laplace operator

Emmanuel Wend-Benedo Zongo·Bernhard Ruf

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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.

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Emmanuel Wend-Benedo Zongo, Bernhard Ruf. 2022-10-18. Bifurcation results for nonlinear eigenvalue problems involving the (p,q)-Laplace operator. https://arxiv.org/abs/2210.10174

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