Papageorgiou, Nikolaos S.Vetro, CalogeroVetro, Francesca2022-03-102022-03-102018-11-13Papageorgiou, 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. 1-14.1072-6691https://hdl.handle.net/10877/15478We 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.Text14 pages1 file (.pdf)enAttribution 4.0 Internationalp-LaplacianRobin boundary conditionSubdifferential termConvection termNonlinear regularityMaximal monotone mapFixed pointArticle