Existence of nontrivial solutions for quasilinear elliptic equations at critical growth

被引：8
作者：
Li, Zhouxin [1 ]
机构：
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 01期
基金：
中国博士后科学基金;
关键词：
Quasilinear elliptic equation; Natural growth; Critical growth; CRITICAL-POINT THEORY; SOLITON-SOLUTIONS; SCHRODINGER-EQUATIONS;
D O I：
10.1016/j.amc.2011.05.053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of nontrivial weak solutions for the following quasilinear elliptic equation with natural growth -D-j(a(ji)(x, u)D(i)u) + 1/2 partial derivative(s)a(ij)(x, u)D(i)uD(j)u = f(x, u), in a bounded smooth domain Omega subset of R-N, where a(ij)(x, u) are functions possibly unbounded with respect to u. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：76 / 87
页数：12
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