华东师范大学学报(自然科学版) ›› 2004, Vol. 2004 ›› Issue (4): 1-5.

• 数学 统计学 •    下一篇

拟线性椭圆型方程弱解的拼集问题

陈慧玉，冉启康   

  1. 上海财经大学 应用数学系，上海 200433
  • 收稿日期:2002-12-16 修回日期:2003-10-23 出版日期:2004-12-25 发布日期:2004-12-25
  • 通讯作者: 陈慧玉

Fusion Problem of Weak Solutions for A Class of Quasilinear Elliptic Equations

Chen Hui-yu, Ran Qi-kang   

  1. Department of Applied Mathematics，Shanghai University of Finance and Economics，Shanghai 200240, China
  • Received:2002-12-16 Revised:2003-10-23 Online:2004-12-25 Published:2004-12-25
  • Contact: Chen Hui-yu

摘要： 使用几何测度论和特殊检验函数法，获得了一类二阶非齐次拟线性椭圆型方程- div A (x, ▽u)=B(x,u,Du)弱解的拼集问题有解的一个充分条件.

关键词: 二阶非齐次拟线性椭圆型方程, 拼集问题, 局部Sobolev空间, H61der不等式, 二阶非齐次拟线性椭圆型方程, 拼集问题, 局部Sobolev空间, H61der不等式

Abstract: In this paper ,using geometric theory and special test function method, a sufficient condition for the solution of the fusion problem of weak solutions for a class of two order nonhomogeneous quasilinear el-liptic equations is obtained一div A(x,▽u)=B(x,u,Du).

Key words: fusion problem, local Sobolev space, Hö, 1der inequality, two order nonhomogeneous quasilinear elliptic equations, fusion problem, local Sobolev space, Hö, 1der inequality

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