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

共 50 条

[41] Existence results for the Dirichlet problem of some degenerate nonlinear elliptic equations
Cavalheiro, Albo Carlos
JOURNAL OF APPLIED ANALYSIS, 2014, 20 (02) : 145 - 154
[42] AN EXISTENCE THEOREM FOR THE DIRICHLET PROBLEM FOR QUASILINEAR ELLIPTIC-EQUATIONS IN DOMAINS WITH CORNERS
AZZAM, A
JOURNAL OF THE UNIVERSITY OF KUWAIT-SCIENCE, 1988, 15 (02): : 209 - 218
[43] Radial solutions of the Dirichlet problem for a class of quasilinear elliptic equations arising in optometry
Corsato, Chiara
De Coster, Colette
Flora, Noemi
Omari, Pierpaolo
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 181 : 9 - 23
[44] Sobolev–Dirichlet problem for quasilinear elliptic equations in generalized Orlicz–Sobolev spaces
Allami Benyaiche
Ismail Khlifi
Positivity, 2021, 25 : 819 - 841
[45] An inverse boundary value problem for certain anisotropic quasilinear elliptic equations
Carstea, Catalin, I
Feizmohammadi, Ali
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 284 : 318 - 349
[46] Regularity of a class of quasilinear degenerate elliptic equations
Guan, PF
ADVANCES IN MATHEMATICS, 1997, 132 (01) : 24 - 45
[47] Existence of solutions for quasilinear degenerate elliptic equations
Akdim, Y.
Azroul, E.
Benkirane, A.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2001,
[48] Quasilinear degenerate elliptic equations with absorption term
Horiuchi, T
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1999, 75 (07) : 122 - 125
[49] Existence of solutions for degenerate quasilinear elliptic equations
Zou, Weilin
Li, Fengquan
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (09) : 3069 - 3082
[50] ON THE DIRICHLET PROBLEM FOR QUASI-LINEAR ELLIPTIC-EQUATIONS WITH DEGENERATE COEFFICIENTS
HAYASIDA, K
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1987, 23 (03) : 455 - 477

← 1 2 3 4 5 →