20.500.12556/RUL-109120 Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient 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. convex subdifferential Moreau-Yosida approximation elliptic differential inclusion Morse iteration technique pseudomonotone map variational inequality true false true Angleški jezik Ni določen Članek v reviji 2019-08-22 13:30:42 2019-08-22 13:30:44 2022-08-21 03:40:05 0000-00-00 00:00:00 2018 0 0 Str. 1-23 iss. 1 Vol. 78 Aug. 2018 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956.2 0095-4616 10.1007/s00245-016-9392-y 17801305 24984064 RAZ_Papageorgiou_Nikolaos_Socrates_i2018.pdf RAZ_Papageorgiou_Nikolaos_Socrates_i2018.pdf 1 DBB1FD12CFEBACA8C7D71BF89EBC6B4F 7f7277d5a1170d94ef4b23546bb927ca32ce93fd131ee8ab6bcc1d5b7c629185 c7668405-a1b6-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=120565 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0