Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradientPapageorgiou, Nikolaos S. (Avtor) Rǎdulescu, Vicenţiu (Avtor) Repovš, Dušan (Avtor) convex subdifferentialMoreau-Yosida approximationelliptic differential inclusionMorse iteration techniquepseudomonotone mapvariational inequalityWe 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.20182019-08-22 13:30:42Članek v reviji109120sl