20.500.12556/RUL-110112 Nonhomogeneous hemivariational inequalities with indefinite potential and Robin boundary condition We consider a nonlinear, nonhomogeneous Robin problem with an indefinite potential and a nonsmooth primitive in the reaction term. In fact, the right-hand side of the problem (reaction term) is the Clarke subdifferential of a locally Lipschitz integrand. We assume that asymptotically this term is resonant with respect the principal eigenvalue (from the left). We prove the existence of three nontrivial smooth solutions, two of constant sign and the third nodal. We also show the existence of extremal constant sign solutions. The tools come from nonsmooth critical point theory and from global optimization (direct method). locally Lipschitz function Clarke subdifferential resonance extremal constant sign solutions nodal solutions nonlinear nonhomogeneous differential operator true false true Angleški jezik Ni določen Članek v reviji 2019-09-12 07:47:37 2019-09-12 07:47:39 2022-08-22 03:41:44 0000-00-00 00:00:00 2017 0 0 Str. 293-323 iss. 2 Vol. 175 Nov. 2017 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956 0022-3239 10.1007/s10957-017-1173-5 18130265 RAZ_Papageorgiou_Nikolaos_Socrates_i2017.pdf RAZ_Papageorgiou_Nikolaos_Socrates_i2017.pdf 1 5530EF10887A587F82C335CF66E8EBD2 7818bbbbc7d13c18170927380b2ea209ec5fec8879a31ad11c33860501cef005 0a2ca970-a1b7-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=121746 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0