Robin problems with a general potential and a superlinear reactionPapageorgiou, Nikolaos S. (Avtor) Rǎdulescu, Vicenţiu (Avtor) Repovš, Dušan (Avtor) indefinite potentialRobin boundary conditioncritical groupssuperlinear reaction termregularity theorycritical groupsnodal solutionsWe consider semilinear Robin problems driven by the negative Laplacian plus an indefinite potential and with a superlinear reaction term which need not satisfy the Ambrosett-Rabinowitz condition. We prove existence and multiplicity theorems (producing also an infinity of smooth solutions) using variational tools, truncation and perturbation techniques and Morse theory (critical groups).20172019-09-11 12:56:35Članek v reviji110047UDK: 517.956.2ISSN pri članku: 0022-0396DOI: 10.1016/j.jde.2017.04.032COBISS_ID: 18034521OceCobissID: 25730560sl