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.
2019
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/351046
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