Robin problems for the p-Laplacian with gradient dependence
Genni Fragnelli, Dimitri Mugnai, Nikolaos S. Papageorgiou · Discrete and Continuous Dynamical Systems - S · 2018
We consider a nonlinear elliptic equation with Robin boundary condition driven by the p-Laplacian and with a reaction term which depends also on the gradient. By using a topological approach based on the Leray-Schauder alternative principle, we show the existence of a smooth solution.