6533b7d5fe1ef96bd1264473

RESEARCH PRODUCT

Nonlinear Robin problems with unilateral constraints and dependence on the gradient

Nikolaos S. PapageorgiouCalogero VetroFrancesca Vetro

subject

Mathematics::Functional Analysisfixed pointSettore MAT/05 - Analisi Matematicalcsh:Mathematicsp-LaplacianMathematics::Analysis of PDEsnonlinear regularityconvection termRobin boundary conditionlcsh:QA1-939maximal monotone mapsubdifferential term

description

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.

yearjournalcountryeditionlanguage
2018-11-01Electronic Journal of Differential Equations
http://ejde.math.txstate.edu/Volumes/2018/182/abstr.html