20.500.12556/RUL-116612 Nonlinear nonhomogeneous singular problems We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator with a growth of order ▫$(p-1)$▫ near ▫$+\infty$▫ and with a reaction which has the competing effects of a parametric singular term and a ▫$(p-1)$▫-superlinear perturbation which does not satisfy the usual Ambrosetti-Rabinowitz condition. Using variational tools, together with suitable truncation and strong comparison techniques, we prove a "bifurcation-type" theorem that describes the set of positive solutions as the parameter ▫$\lambda$▫ moves on the positive semiaxis. We also show that for every ▫$\lambda > 0$▫, the problem has a smallest positive solution ▫$u^\ast_\lambda$▫ and we demonstrate the monotonicity and continuity properties of the map ▫$\lambda \mapsto u^\ast_\lambda$▫. singular term superlinear perturbation positive solution nonhomogeneous differential operator nonlinear regularity minimal positive solutions strong comparison principle true false true Angleški jezik Ni določen Članek v reviji 2020-05-29 09:40:21 2020-05-29 09:40:25 2022-08-28 03:49:24 0000-00-00 00:00:00 2020 0 0 art. 9 [31 str.] iss. 1 Vol. 59 Feb. 2020 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956.2 0944-2669 10.1007/s00526-019-1667-0 18823001 3677529 RAZ_Papageorgiou_Nikolaos_2020.pdf RAZ_Papageorgiou_Nikolaos_2020.pdf 1 D1825EA32DD846EB401C5A55BC2738CA b9763112cb309aa44976f1786338f27c659b32bc7bea553ac513f31f25743c7b f91099f6-a1b8-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=130246 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0