Nonlinear nonhomogeneous Robin problems with almost critical and partially concave reactionPapageorgiou, Nikolaos S. (Avtor) Repovš, Dušan (Avtor) Vetro, Calogero (Avtor) competition phenomenanonlinear regularitynonlinear maximum principlestrong comparison principlebifurcation-type resultalmost critical growthWe consider a nonlinear Robin problem driven by a nonhomogeneous differential operator, with reaction which exhibits the competition of two Carathéodory terms. One is parametric, ▫$(p-1)$▫-sublinear with a partially concave nonlinearity near zero. The other is ▫$(p-1)$▫-superlinear and has almost critical growth. Exploiting the special geometry of the problem, we prove a bifurcation-type result, describing the changes in the set of positive solutions as the parameter ▫$\lambda > 0$▫ varies.20202020-05-28 14:22:15Članek v reviji116580sl