Solutions of nonlinear nonhomogeneous Neumann and Dirichlet Problems
Abstract
We consider nonlinear Neumann and Dirichlet problems driven by a nonhomogeneous differential operator and a Caratheodory reaction. Our framework incorporates p-Laplacian equations and equations with the(p,q)-differential operator and with the generalized p-mean curvature operator. Using variational methods, together with truncation and comparison techniques and Morse theory, we prove multiplicity theorems, producing three, five or six nontrivial smooth solutions, all with sign information.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.3934/cpaa.2013.12.2889
Publication Date
2013
Recommended Citation
Hu, Shouchuan, and Nikolaos S. Papageorgiou. "Solutions of nonlinear nonhomogeneous Neumann and Dirichlet problems." Communications on Pure & Applied Analysis 12, no. 6 (2013): 2889-2922.
Journal Title
Communications on Pure & Applied Analysis
