Multiple solutions for resonant problems of the Robin ▫$p$▫-Laplacian plus an indefinite potentialPapageorgiou, Nikolaos S. (Avtor) Rǎdulescu, Vicenţiu (Avtor) Repovš, Dušan (Avtor) p-LaplacianRobin boundary conditionresonancecritical groupsmultiple nontrivial smooth solutionsindefinite potentialWe study a nonlinear boundary value problem driven by the ▫$p$▫-Laplacian plus an indefinite potential with Robin boundary condition. The reaction term is a Carathéodory function which is asymptotically resonant at ▫$\pm \infty$▫ with respect to a nonprincipal Ljusternik-Schnirelmann eigenvalue. Using variational methods, together with Morse theory and truncation-perturbation techniques, we show that the problem has at least three nontrivial smooth solutions, two of which have a fixed sign.20172019-09-11 08:17:11Članek v reviji110020UDK: 517.956.2ISSN pri članku: 0944-2669DOI: http://dx.doi.org/10.1007/s00526-017-1164-2COBISS_ID: 18019929OceCobissID: 3677529sl