Acta Scientiarum Naturalium Universitatis Pekinensis

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Existence and Uniqueness for A Class of Degenerate Divergence Elliptic Equations

NI Guoxi   

  1. School of Mathematical Sciences, Peking University, Beijing, 100871
  • Received:2000-06-08 Online:2001-09-20 Published:2001-09-20



  1. 北京大学数学科学学院,北京,100871

Abstract: Existence and uniqueness are proved by Lax-Milgram theorem for a type of degenerate divergence elliptic equation in a type of Sobolev spaces with weight, and also the regularity will be studied.

Key words: degenerate elliptic, weighted Sobolev space

摘要: 先用Lax-Milgram定理证明一类退化散度型椭圆型方程在带权Sobolev空间中弱解的存在唯一性,然后证明解的正则性。

关键词: 退化椭圆, 带权Sobolev空间

CLC Number: