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.

Robin problems for the $p-$Laplacian with gradient dependence

Genni Fragnelli;
2019-01-01

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/207155
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