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
Recommended Citation
Hu, Shouchuan, and Nikolas S. Papageorgiou. "Multiple positive solutions for nonlinear eigenvalue problems with the p-Laplacian." Nonlinear Analysis: Theory, Methods & Applications 69, no. 12 (2008): 4286-4300.
Journal Title
Nonlinear Analysis, Theory, Methods and Applications
