20.500.12556/RUL-110196 Robin problems with indefinite linear part and competition phenomena We consider a parametric semilinear Robin problem driven by the Laplacian plus an indefinite potential. The reaction term involves competing nonlinearities. More precisely, it is the sum of a parametric sublinear (concave) term and a superlinear (convex) term. The superlinearity is not expressed via the Ambrosetti-Rabinowitz condition. Instead, a more general hypothesis is used. We prove a bifurcation-type theorem describing the set of positive solutions as the parameter ▫$\lambda > 0$▫ varies. We also show the existence of a minimal positive solution ▫$\tilde{u}_\lambda$▫ and determine the monotonicity and continuity properties of the map ▫$\lambda \mapsto \tilde{u}_\lambda$▫. indefinite potential Robin boundary condition strong maximum principle truncation competing nonlinear positive solutions regularity theory minimal positive solution true false true Angleški jezik Ni določen Članek v reviji 2019-09-12 14:17:10 2019-09-12 14:17:12 2022-08-22 03:42:17 0000-00-00 00:00:00 2017 0 0 Str. 1293-1314 no. 4 Vol. 16 2017 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956.2 1534-0392 10.3934/cpaa.2017063 18010713 15066457 RAZ_Papageorgiou_Nikolaos_Socrates_i2017.pdf RAZ_Papageorgiou_Nikolaos_Socrates_i2017.pdf 1 AD7BBC3B3C48F5D4FEC543B7D1355491 35b6a68cc6c020cff3c9ece0a140f812672928f5d8ef39e805d47732bca8ff7f 1015be39-a1b7-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=121841 http://aimsciences.org/journals/doIpChk.jsp?paperID=13917&mode=full 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=121839 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0