Nikolaos S. Papageorgiou, Calogero Vetro, Francesca Vetro
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.
Submitted December 17, 2017. Published November 13, 2018.
Math Subject Classifications: 35J20, 35J60, 35J92.
Key Words: p-Laplacian; Robin boundary condition; subdifferential term; convection term; nonlinear regularity; maximal monotone map; fixed point.
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| Nikolaos S. Papageorgiou |
National Technical University
Department of Mathematics, Zografou campus
15780, Athens, Greece
| Calogero Vetro |
University of Palermo
Department of Mathematics and Computer Science
Via Archirafi 34, 90123
| Francesca Vetro |
Nonlinear Analysis Research Group
Ton Duc Thang University
Ho Chi Minh City, Vietnam
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