EXISTENCE OF POSITIVE SOLUTIONS FOR NONLINEAR ROBIN PROBLEMS WITH GRADIENT DEPENDENCE

被引：4

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

Zhang, Chao ^{[2
,3
]}

机构：

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

[2] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

[3] Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Heilongjiang, Peoples R China

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2019年 / 44卷

关键词：

Convection; Leray-Schauder alternative principle; minimal positive solution; non-linear regularity; nonlinear maximum principle; ELLIPTIC-EQUATIONS; PLUS;

D O I：

10.5186/aasfm.2019.4437

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a nonlinear Robin problem driven by the p-Laplace differential operator and with a reaction term which depends also on the gradient (convection). Using a topological approach based on the Leray-Schauder alternative principle, we show that the problem has a positive smooth solution.

引用

页码：739 / 753

页数：15

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