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arXiv · 1807.05880

Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient

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

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Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš. 2018-07-16. Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient. https://doi.org/10.1007/s00245-016-9392-y

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