Title

Multiple positive solutions for nonlinear eigenvalue problems with the p-Laplacian

Abstract

In this paper we consider a nonlinear eigenvalue problem driven by the p-Laplacian differential operator and with a nonsmooth potential. Using degree theoretic arguments based on the degree map for certain operators of monotone type, we show that the problem has at least two nontrivial positive solutions as the parameter λ > 0 varies in a half-line.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1016/j.na.2007.10.053

Keywords

(S) -operator +, Degree map, Nonlinear eigenvalue problem, p-Laplacian, Positive solutions

Publication Date

12-15-2008

Journal Title

Nonlinear Analysis, Theory, Methods and Applications

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