Existence results for degenerate quasilinear elliptic equations in weighted Sobolev spaces

被引：6

作者：

Cavalheiro, Albo Carlos ^{[1
]}

机构：

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

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2010年 / 17卷 / 01期

关键词：

degenerate quasilinear elliptic equations; weighted Sobolev spaces; MINIMAL ASSUMPTIONS; REGULARITY;

D O I：

10.36045/bbms/1267798504

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations -dIV [nu(x) A(x, u, del u)] + omega(x)A(0)(x, u(x)) = f(0) - Sigma(n)(j=1) D(f)f(f), on Omega in the setting of the weighted Sobolev spaces W(0)(l,p)(Omega,omega,nu)

引用

页码：141 / 153

页数：13

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