20.500.12556/RUL-119968 Anisotropic equations with indefinite potential and competing nonlinearities We consider a nonlinear Dirichlet problem driven by a variable exponent ▫$p$▫-Laplacian plus an indefinite potential term. The reaction has the competing effects of a parametric concave (sublinear) term and a convex (superlinear) perturbation (the anisotropic concave-convex problem). We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the positive parameter ▫$\lambda$▫ varies. Also, we prove the existence of minimal positive solutions. variable exponent spaces regularity theory maximum principle concave and convex nonlinearities positive solutions comparison principles true false true Angleški jezik Ni določen Članek v reviji 2020-09-14 10:21:27 2020-09-14 10:21:31 2022-09-01 03:56:45 0000-00-00 00:00:00 2020 0 0 art. 111861 (24 str.) Vol. 201 Dec. 2020 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956 0362-546X 10.1016/j.na.2020.111861 18953305 26027520 RAZ_Papageorgiou_Nikolaos_2020.pdf RAZ_Papageorgiou_Nikolaos_2020.pdf 1 F84A8CB7A626D39D66C394A17C19B7D8 c48f753437ca1d51524d5eb1c2849f64102455f4ab9bf809525dbef1efaa08c8 f7be0ff5-a1b9-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=134720 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0