20.500.12556/RUL-136915 Anisotropic singular Neumann equations with unbalanced growth We consider a nonlinear parametric Neumann problem driven by the anisotropic ▫$(p, q)$▫-Laplacian and a reaction which exhibits the combined effects of a singular term and of a parametric superlinear perturbation. We are looking for positive solutions. Using a combination of topological and variational tools together with suitable truncation and comparison techniques, we prove a bifurcation-type result describing the set of positive solutions as the positive parameter ▫$\lambda$▫ varies. We also show the existence of minimal positive solutions ▫$u_{\lambda }^{\ast}$▫ and determine the monotonicity and continuity properties of the map ▫$\lambda \mapsto u_{\lambda }^{\ast}$▫. modular function truncation comparison principle minimal solution anisotropic regularity true false true Angleški jezik Ni določen Članek v reviji 2022-05-25 07:31:52 2022-05-25 07:31:58 2022-09-15 04:14:25 0000-00-00 00:00:00 2022 0 0 Str. 55-82 iss. 1 Vol. 57 June 2022 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2020-10-27 2021-01-24 2021-03-01 517.956 0926-2601 10.1007/s11118-021-09905-4 57450755 RAZ_Papageorgiou_Nikolaos_2022.pdf RAZ_Papageorgiou_Nikolaos_2022.pdf 1 418A314348618DA8030D37F6CBE54783 a498d70bf25f57e9139b8d4df611695b563f63fce5f92fc78ccc195d587ccfb2 deadfb2c-dbeb-11ec-8aca-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=156725 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0