20.500.12556/RUL-113103 Parametric nonlinear resonant Robin problems We consider a nonlinear Robin problem driven by the ▫$p$▫-Laplacian. In the reaction we have the competing effects of two nonlinearities. One term is parametric, strictly ▫$(p-1)$▫-sublinear and the other one is ▫$(p-1)$▫-linear and resonant at any nonprincipal variational eigenvalue. Using variational tools from the critical theory (critical groups), we show that for all big values of the parameter ▫$\lambda$▫ the problem has at least five nontrivial smooth solutions. indefinite and unbounded potential critical groups multiple solutions nonlinear regularity resonance Robin boundary condition strong comparison truncation true false true Angleški jezik Ni določen Članek v reviji 2019-12-04 07:19:13 2019-12-04 07:19:15 2022-08-25 03:54:34 0000-00-00 00:00:00 2019 0 0 Str. 2456-2480 iss. 11 Vol. 292 Nov. 2019 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 2020-12-04 517.956.2 0025-584X 10.1002/mana.201800505 18720857 25915392 RAZ_Papageorgiou_Nikolaos_2019.pdf RAZ_Papageorgiou_Nikolaos_2019.pdf 1 B12313543CE8AD776527E11AC46E1502 5a289ae8bb11d74b2ee2dc8bb5a0cc071506beb6088a829741bc78187bceef38 064f8333-a1b8-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=125088 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0