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.
Averna, D., Papageorgiou, N.S., Tornatore, E. (2019). Positive solutions for nonlinear Robin problems with convection. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 42(6), 1907-1920 [10.1002/mma.5484].
Positive solutions for nonlinear Robin problems with convection
Averna, Diego;Tornatore, Elisabetta
2019-01-01
Abstract
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.
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