6533b873fe1ef96bd12d5994

RESEARCH PRODUCT

Positive solutions for nonlinear Robin problems with convection

Diego AvernaElisabetta TornatoreNikolaos S. Papageorgiou

subject

ConvectionGeneral Mathematicsnonlinear maximum principlep-LaplacianGeneral Engineering(minimal) positive solutionNonlinear systemEngineering (all)p-LaplacianApplied mathematicsnonlinear regularityMathematics (all)convection termLeray-Schauder alternative principleMathematics

description

We consider a nonlinear Robin problem driven by the p-Laplacian and with a convection term f(z,x,y). Without imposing any global growth condition on f(z,·,·) and using topological methods (the Leray-Schauder alternative principle), we show the existence of a positive smooth solution.

yearjournalcountryeditionlanguage
2019-01-17
10.1002/mma.5484http://hdl.handle.net/10447/351046