On a Quasilinear Elliptic Equation with Superlinear Nonlinearities

被引：0

作者：

Gao JIA ^{[1
]}

Lina HUANG ^{[2
]}

Xiaojuan ZHANG ^{[1
]}

机构：

[1] College of Science, University of Shanghai for Science and Technology

[2] Xingwan School

来源：

Chinese Annals of Mathematics,Series B | 2016年 / 37卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Weighted Sobolev space; Superlinear; Quasilinear elliptic equation;

D O I：

暂无

中图分类号：

O175.25 [椭圆型方程];

学科分类号：

070104 ;

摘要：

This work is devoted to studying a quasilinear elliptic boundary value problem with superlinear nonlinearities in a weighted Sobolev space in a domain of R;. Based on the Galerkin method, Brouwer’s theorem and the weighted compact Sobolev-type embedding theorem, a new result about the existence of solutions is revealed to the problem.

引用

页码：309 / 322

页数：14

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