20.500.12556/RUL-108753 Perturbations of nonlinear eigenvalue problems We consider perturbations of nonlinear eigenvalue problems driven by a nonhomogeneous differential operator plus an indefinite potential. We consider both sublinear and superlinear perturbations and we determine how the set of positive solutions changes as the real parameter ▫$\lambda$▫ varies. We also show that there exists a minimal positive solution ▫$\overline{u}_\lambda$▫ and determine the monotonicity and continuity properties of the map ▫$\lambda\mapsto\overline{u}_\lambda$▫. Special attention is given to the particular case of the ▫$p$▫-Laplacian. nonhomogeneous differential operator sublinear perturbation superlinear perturbation nonlinear regularity nonlinear maximum principle comparison principle minimal positive solution true false false Angleški jezik Ni določen Neznano 2019-07-19 11:26:13 2019-07-19 11:26:15 2022-08-20 03:48:16 0000-00-00 00:00:00 2019 0 0 Str. 1403-1431 no. 3 Vol. 18 May 2019 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956 1534-0392 10.3934/cpaa.2019068 18481753 15066457 RAZ_Papageorgiou_Nikolaos_i2019.pdf RAZ_Papageorgiou_Nikolaos_i2019.pdf 1 09FEC9B6D890AF044A4DC1F2A528952D ae22541ad65e575c8d70039e53da335f93484c0cf6537142aa3ed4e325190fc4 cf9ada00-a1b6-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=120750 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0