SOLUTION OF A CLASS OF NONHOMOGENEOUS ELLIPTIC SYSTEM INVOLVING CRITICAL SOBOLEV EXPONENT

• 作者: LiuSanyang ZhangGuoqing
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 临界Sobolev展开式 非同源椭圆型方程 Nehari 半线性偏微分 边界条件
• 年，卷（期）: 2005,（1）
• 页码范围: 85-92
• 页数: 8页
• 分类号: O175.25

摘要

In this paper, we discuss the problem of solving a class of nonhomogeneous semilinear elliptic system with critical Sobolev exponent changing into one of critical points of some given functional. Using Nehari technique, the given functional attain its minimum by adding suitable constraints, and the minimal point becomes a critical point of the original functional after eliminating the added constraints, thus the solution of the nonhomogeneous elliptic system is obtained.