20.500.12556/RUL-108743 Asymmetric Robin problems with indefinite potential and concave terms We consider a parametric semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. In the reaction, we have the competing effects of a concave term appearing with a negative sign and of an asymmetric asymptotically linear term which is resonant in the negative direction. Using variational methods together with truncation and perturbation techniques and Morse theory (critical groups), we prove two multiplicity theorems producing four and five, respectively, nontrivial smooth solutions when the parameter ▫$\lambda > 0$▫ is small. indefinite and unbounded potential concave term asymmetric reaction critical groups multiple solutions Harnack inequality true false true Angleški jezik Ni določen Članek v reviji 2019-07-17 09:22:33 2019-07-17 09:22:34 2022-08-20 03:48:14 0000-00-00 00:00:00 2019 0 0 Str. 69-87 iss. 1 Vol. 19 Feb. 2019 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956.2 1536-1365 10.1515/ans-2018-2022 18385753 15060569 RAZ_Papageorgiou_Nikolaos_i2019.pdf RAZ_Papageorgiou_Nikolaos_i2019.pdf 1 358D4D1ED858FBAF4264724E9004623F ad4d5cd0b5774e1ec646a3f34621e3a505f04c0839e1ac146ef22111b22e138c cf8c91f7-a1b6-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=120748 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0