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
Fragnelli, G., Mugnai, D., Papageorgiou, N. (2019). Robin problems for the p-Laplacian with gradient dependence. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 12(2), 287-295 [10.3934/dcdss.2019020].
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 solutionFile in questo prodotto:
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https://hdl.handle.net/11365/1279779