Nonlinear nonhomogeneous Robin problems with dependence on the gradient
Yunru Bai, Leszek Gasiński, Nikolaos S. Papageorgiou · Boundary Value Problems · 2018
We consider a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Robin boundary condition and a convection term. Using a topological approach based on the Leray–Schauder alternative principle, together with truncation and comparison techniques, we show the existence of a smooth positive solution without imposing any global growth condition on the reaction term.