NONLINEAR ROBIN PROBLEMS WITH UNILATERAL CONSTRAINTS AND DEPENDENCE ON THE GRADIENT

被引：0

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

Vetro, Calogero ^{[2
]}

Vetro, Francesca ^{[3
,4
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

[2] Univ Palermo, Dept Math & Comp Sci, Via Archi 34, I-90123 Palermo, Italy

[3] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City, Vietnam

[4] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

p-Laplacian; Robin boundary condition; subdifferential term; convection term; nonlinear regularity; maximal monotone map; fixed point; POSITIVE SOLUTIONS; ELLIPTIC-EQUATIONS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：14

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