20.500.12556/RUL-111093 Nontrivial solutions of superlinear nonlocal problems We study the question of the existence of infinitely many weak solutions for nonlocal equations of fractional Laplacian type with homogeneous Dirichlet boundary data, in presence of a superlinear term. Starting from the well-known Ambrosetti-Rabinowitz condition, we consider different growth assumptions on the nonlinearity, all of superlinear type. We obtain three different existence results in this setting by using the Fountain Theorem, which extend some classical results for semilinear Laplacian equations to the nonlocal fractional setting. fractional Laplacian nonlocal problems variational method Fountain theorem integrodifferential operator superlinear nonlinearities true false true Angleški jezik Ni določen Članek v reviji 2019-09-23 14:42:50 2019-09-23 14:42:51 2022-08-23 03:40:45 0000-00-00 00:00:00 2016 0 0 Str. 1095-1110 iss. 6 Vol. 28 2016 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.95 0933-7741 10.1515/forum-2015-0204 17671001 26801408 RAZ_Molica_Bisci_Giovanni_i2016.pdf RAZ_Molica_Bisci_Giovanni_i2016.pdf 1 D47D1564EEE65D83B5090A5A6E2ADA61 599831630e422c68d1303b6207f0e737953477d15eea377146ce37df5b10795a 4d33ec7a-a1b7-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=122890 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0