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Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient (1807.05880v1)
Published 16 Jul 2018 in math.AP
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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