Existence and uniqueness of solutions for some degenerate nonlinear Dirichlet problems

被引：11

作者：

Cavalheiro, Albo Carlos ^{[1
]}

机构：

[1] Univ Estadual Londrina, Dept Math, BR-86057970 Londrina, PR, Brazil

来源：

JOURNAL OF APPLIED ANALYSIS | 2013年 / 19卷 / 01期

关键词：

Degenerate nonlinear elliptic equations; weighted Sobolev spaces;

D O I：

10.1515/jaa-2013-0003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we are interested in the existence of solutions for the Dirichlet problem associated with the degenerate nonlinear elliptic equations - Sigma(n)(i,j=1) D-j(a(ij)(x)D(i)u(x))+ b(x)u(x)+ div(Phi(u(x))) = g(x) - Sigma(n)(j=1)f(j)(x) on Omega in the setting of the weighted Sobolev spaces W-0(1,p)(Omega,omega)

引用

页码：41 / 54

页数：14

共 16 条

[1]

Cavalheiro A. C., 2011, COMM MATH ANAL, V11, P1

[2] Existence results for degenerate quasilinear elliptic equations in weighted Sobolev spaces [J].

Cavalheiro, Albo Carlos .

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2010, 17 (01) :141-153

[3] THE LOCAL REGULARITY OF SOLUTIONS OF DEGENERATE ELLIPTIC-EQUATIONS [J].

FABES, EB ;

KENIG, CE ;

SERAPIONI, RP .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1982, 7 (01) :77-116

[4]

Franchi B., 1987, ANN SCUOLA NORM SUP, V14, P527

[5]

GARCiA-CUERVA J., 1985, N HOLLAND MATH STUD, V116

[6]

Gilbarg D., 1983, ELLIPTIC PARTIAL DIF

[7]

Heinonen J., 1993, OXFORD MATH MONOGR

[8]

Kinderlehrer D., 1980, CLASSICS APPL MATH

[9]

Kufner A., 1990, PITMAN RES NOTES MAT, V219

[10]

Kufner A., 1980, WEIGHTED SOBOLEV SPA, V31

← 1 2 →