Weighted Sobolev Spaces and Degenerate Elliptic Equations

被引：38

作者：

Cavalheiro, Albo Carlos ^{[1
]}

机构：

[1] Univ Estadual Londrina, Dept Math, BR-86051990 Londrina, PR, Brazil

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2008年 / 26卷 / 1-2期

关键词：

Degenerate elliptic equations; weighted Sobolev spaces;

D O I：

10.5269/bspm.v26i1-2.7415

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we survey a number of recent results obtained in the study of weighted Sobolev spaces (with power-type weights, A(p)-weights, p-admissible weights, regular weights and the conjecture of De Giorgi) and the existence of entropy solutions for degenerate quasilinear elliptic equations.

引用

页码：117 / 132

页数：16

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