NONLINEAR NONHOMOGENEOUS ROBIN PROBLEMS WITH CONVECTION

被引：9

作者：

Candito, Pasquale ^{[1
]}

Gasinski, Leszek ^{[1
]}

Papageorgiou, Nikolaos S.

机构：

[1] Univ Reggio Calabria, Dept DICEAM, Via Graziella Feo Di Vito, I-8912 Reggio Di Calabria, Italy

来源：

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

基金：

欧盟地平线“2020”;

关键词：

Leray-Schauder alternative principle; nonlinear regularity; compact map; nonlinear maximum principle; POSITIVE SOLUTIONS; ELLIPTIC-EQUATIONS; DEPENDENCE; INDEFINITE;

D O I：

10.5186/aasfm.2019.4438

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a Robin problem driven by a nonlinear, nonhomogeneous differential operator with a drift term (convection) and a Caratheodory perturbation. Assuming that the drift coefficient is positive and 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：755 / 767

页数：13

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