Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient
Analysis of PDEs
2018-07-17 v1
Abstract
We consider a nonlinear Neumann elliptic inclusion with a source (reaction term) consisting of a convex subdifferential plus a multivalued term depending on the gradient. The convex subdifferential incorporates in our framework problems with unilateral constraints (variational inequalities). Using topological methods and the Moreau-Yosida approximations of the subdifferential term, we establish the existence of a smooth solution.
Keywords
Cite
@article{arxiv.1807.05880,
title = {Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient},
author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:1807.05880},
year = {2018}
}