Nikolaos S. Papageorgiou, Calogero Vetro, Francesca Vetro
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.
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 email: npapg@math.ntua.gr | |
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Calogero Vetro University of Palermo Department of Mathematics and Computer Science Via Archirafi 34, 90123 Palermo, Italy email: calogero.vetro@unipa.it |
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Francesca Vetro Nonlinear Analysis Research Group Ton Duc Thang University Ho Chi Minh City, Vietnam email: francescavetro@tdtu.edu.vn |
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