Nonlinear Robin problems with unilateral constraints and dependence on the gradient
Date
2018-11-13
Authors
Papageorgiou, Nikolaos S.
Vetro, Calogero
Vetro, Francesca
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
p-Laplacian, Robin boundary condition, Subdifferential term, Convection term, Nonlinear regularity, Maximal monotone map, Fixed point
Citation
Papageorgiou, N. S., Vetro, C., & Vetro, F. (2018). Nonlinear Robin problems with unilateral constraints and dependence on the gradient. <i>Electronic Journal of Differential Equations, 2018</i>(182), pp. 1-14.
Rights
Attribution 4.0 International