Existence and Uniqueness for A Class of Degenerate Divergence Elliptic Equations

Acta Scientiarum Naturalium Universitatis Pekinensis

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Existence and Uniqueness for A Class of Degenerate Divergence Elliptic Equations

NI Guoxi

School of Mathematical Sciences, Peking University, Beijing, 100871

Received:2000-06-08 Online:2001-09-20 Published:2001-09-20

一类退化散度型椭圆型方程解的存在唯一性

倪国喜

北京大学数学科学学院，北京，100871

Abstract

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:

O175.25

NI Guoxi. Existence and Uniqueness for A Class of Degenerate Divergence Elliptic Equations[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

倪国喜. 一类退化散度型椭圆型方程解的存在唯一性[J]. 北京大学学报（自然科学版）.

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URL: https://xbna.pku.edu.cn/EN/

https://xbna.pku.edu.cn/EN/Y2001/V37/I5/604

[1]	WEN Guochun. Oblique Derivative Problems for Quasilinear Degenerate Elliptic Equations of Second Order [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2006, 42(1): 29-34.
[2]	WEN Guochun. The Riemann-Hilbert Problem for Linear Degenerate Elliptic Complex Equations of First Order [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2005, 41(1): 47-54.

Existence and Uniqueness for A Class of Degenerate Divergence Elliptic Equations

一类退化散度型椭圆型方程解的存在唯一性

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