Nonlinear Robin problems with unilateral constraints and dependence on the gradient
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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.
CitationPapageorgiou, 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), pp. 1-14.
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