Positive solutions for nonlinear elliptic problems with dependence on the gradient

被引：56

作者：

Gasinski, Leszek ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Jagiellonian Univ, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 02期

关键词：

Pseudomonotone map; Strongly coercive map; Leray-Schauder alternative principle; Compact map; Nonlinear regularity; Maximum principle; EQUATIONS; EXISTENCE;

D O I：

10.1016/j.jde.2017.03.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a quasilinear Neumann problem with a differential operator and a reaction term, both dependent on u and Du. Using topological methods together with suitable truncation and comparison techniques, we show that the problem has at least one positive smooth solution. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：1451 / 1476

页数：26

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