Solvability of nonlinear variational-hemivariational inequalities |
| |
Authors: | Michael E Filippakis Nikolaos S Papageorgiou |
| |
Institution: | Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece |
| |
Abstract: | In this paper we study nonlinear elliptic differential equations driven by the p-Laplacian with unilateral constraints produced by the combined effects of a monotone term and of a nonmonotone term (variational-hemivariational inequality). Our approach is variational and uses the subdifferential theory of nonsmooth functions and the theory of accretive and monotone operators. Also using these ideas and a special choice of the monotone term, we prove the existence of a strictly positive smooth solution for a class of nonlinear equations with nonsmooth potential (hemivariational inequality). |
| |
Keywords: | Generalized subdifferential Convex subdifferential p-Laplacian Principal eigenvalue m-accretive operator Maximal monotone operator Critical point |
本文献已被 ScienceDirect 等数据库收录! |