The problem of Dirichlet for anisotropic quasilinear degenerate elliptic equations

被引：20

作者：

Tersenov, Alkis S. ^{[1
]}

Tersenov, Aris S.

机构：

[1] Univ Crete, Dept Math, Iraklion 71409, Crete, Greece

[2] Univ Peloponnese, Dept Comp Sci & Technol, Tripoli 22100, Libya

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年 / 235卷 / 02期

关键词：

degenerate elliptic equations; semilinear elliptic equations; a priori estimates;

D O I：

10.1016/j.jde.2007.01.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Dirichlet problem for a class of anisotropic degenerate elliptic equations. New a priori estimates for solutions and for the gradient of solutions are established. Based on these estimates sufficient conditions guaranteeing the solvability of the problem are formulated. The results are new even in the semilinear case when the principal part is the Laplace operator. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：376 / 396

页数：21

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