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arXiv:1807.05880 [math.AP]AbstractReferencesReviewsResources

Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš

Published 2018-07-16Version 1

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.

Journal: Appl. Math. Optim. 78:1 (2018), 1-23
Categories: math.AP
Subjects: 35J60, 35K85
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