|
|||||
|
|
Three nontrivial solutions for the -Laplacian with a nonsmooth potential |
|
| Authors: | Nikolaos S Papageorgiou Sandrina Rafaela Andrade Santos Vasile Staicu |
| Institution: | aDepartment of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece;bDepartment of Mathematics, Aveiro University, 3810-193 Aveiro, Portugal |
| Abstract: | We consider a nonlinear elliptic problem driven by the partial p-Laplacian and with a nonsmooth potential (hemivariational inequality). Using variational techniques based on nonsmooth analysis and degree theoretic arguments for operators of the monotone type, we establish the existence of at least three distinct nontrivial smooth solutions. |
| Keywords: | Constant sign solution Nonsmooth potential (S)+-operator Degree theory Generalized subdifferential p-Laplacian |
| 本文献已被 ScienceDirect 等数据库收录！ | |