Search results for "Leray-Schauder alternative principle"

Positive solutions for nonlinear Robin problems with convection

2019

We consider a nonlinear Robin problem driven by the p-Laplacian and with a convection term f(z,x,y). Without imposing any global growth condition on f(z,·,·) and using topological methods (the Leray-Schauder alternative principle), we show the existence of a positive smooth solution.