A PRIORI ESTIMATES AND EXISTENCE FOR QUASILINEAR ELLIPTIC EQUATIONS WITH NONLINEAR NEUMANN BOUNDARY CONDITIONS

被引：0

作者：

Hu, Zhe ^{[1
]}

Wang, Li ^{[1
]}

Zhao, Peihao ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

m-Laplacian; nonlinear Neumann boundary conditions; a priori estimates; POSITIVE SOLUTIONS; REGULARITY; FORM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the existence of positive solutions for a nonlinear Neumann problem involving the m-Laplacian. The equation does not have a variational structure. We use a blow-up argument and a Liouville-type theorem to obtain a priori estimates and obtain the existence of positive solutions by the Krasnoselskii fixed point theorem.

引用

页数：8

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