Positive solutions for nonlinear nonhomogeneous parametric Robin problemsPapageorgiou, Nikolaos S. (Avtor) Rǎdulescu, Vicenţiu (Avtor) Repovš, Dušan (Avtor) Robin boundary conditionnonlinear nonhomogeneous differential operatornonlinear regularitynonlinear maximum principlebifurcation-type resultextremal positive solutionWe study a parametric Robin problem driven by a nonlinear nonhomogeneous differential operator and with a superlinear Carathéodory reaction term. We prove a bifurcation-type theorem for small values of the parameter. Also, we show that as the parameter ▫$\lambda > 0$▫ approaches zero, we can find positive solutions with arbitrarily big and arbitrarily small Sobolev norm. Finally, we show that for every admissible parameter value, there is a smallest positive solution ▫$u^\ast_\lambda$▫ of the problem, and we investigate the properties of the map ▫$\lambda \mapsto u^\ast_\lambda$▫.20182019-08-26 13:25:53Članek v reviji109200UDK: 517.956.2ISSN pri članku: 0933-7741DOI: 10.1515/forum-2017-0124COBISS_ID: 18103641OceCobissID: 26801408sl