Positive solutions for the Robin ▫$p$▫-Laplacian plus an indefinite potentialPapageorgiou, Nikolaos S. (Avtor) Rǎdulescu, Vicenţiu (Avtor) Repovš, Dušan (Avtor) local minimizersp-Laplacianstrong comparisonpositive solutionsnonlinear regularityminimal solutionindefinite potentialWe consider a nonlinear elliptic equation driven by the Robin ▫$p$▫-Laplacian plus an indefinite potential. In the reaction we have the competing effects of a strictly ▫$(p-1)$▫-sublinear parametric term and of a ▫$(p-1)$▫-linear and nonuniformly nonresonant term. We study the set of positive solutions as the parameter ▫$\lambda > 0$▫ varies. We prove a bifurcation-type result for large values of the positive parameter ▫$\lambda$▫. Also, we show that for all admissible ▫$\lambda > 0$▫, the problem has a smallest positive solution ▫$\overline{u}_\lambda$▫ and we study the monotonicity and continuity properties of the map ▫$\lambda \mapsto \overline{u}_\lambda$▫.20202020-10-12 14:27:17Članek v reviji121493UDK: 517.956ISSN pri članku: 2189-3756COBISS_ID: 32039427OceCobissID: 18455385sl