We consider a nonlinear Robin problem driven by the p-Laplacian, with unilateral constraints and a reaction term depending also on the gradient (convection term). Using a topological approach based on fixed point theory (the Leray-Schauder alternative principle) and approximating the original problem using the Moreau-Yosida approximations of the subdifferential term, we prove the existence of a smooth solution.

Papageorgiou, N.S., Vetro, C., & Vetro, F. (2018). NONLINEAR ROBIN PROBLEMS WITH UNILATERAL CONSTRAINTS AND DEPENDENCE ON THE GRADIENT. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018(182), 1-14.

NONLINEAR ROBIN PROBLEMS WITH UNILATERAL CONSTRAINTS AND DEPENDENCE ON THE GRADIENT

Vetro, Calogero;Vetro, Francesca
2018

Abstract

We consider a nonlinear Robin problem driven by the p-Laplacian, with unilateral constraints and a reaction term depending also on the gradient (convection term). Using a topological approach based on fixed point theory (the Leray-Schauder alternative principle) and approximating the original problem using the Moreau-Yosida approximations of the subdifferential term, we prove the existence of a smooth solution.
Settore MAT/05 - Analisi Matematica
https://ejde.math.txstate.edu/Volumes/2018/182/papageorgiou.pdf
Papageorgiou, N.S., Vetro, C., & Vetro, F. (2018). NONLINEAR ROBIN PROBLEMS WITH UNILATERAL CONSTRAINTS AND DEPENDENCE ON THE GRADIENT. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018(182), 1-14.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/339190
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