Bifurcation results for quasi-linear operators from the Fucik spectrum of the Laplacian

Abstract

In this paper, we analyze an eigenvalue problem for a quasi-linear elliptic operators involving Dirichlet boundary condition in an open smooth bounded set of ${\mathbb{R}}^N$. We investigate a bifurcation results (from trivial solution and from infinity) of an eigenvalue problem involving the $(p,2)$-Laplace operator, from the Fu\v cik spectrum of the Laplacian.

arXiv comment16 pages, 1 figure