A singular quasilinear anisotropic elliptic boundary value problem. II

被引：21

作者：

Choi, YS ^{[1
]}

McKenna, PJ ^{[1
]}

机构：

[1] Univ Connecticut, Dept Math, Storrs, CT 06268 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 350卷 / 07期

关键词：

Harnack inequality; singular; subsolution; supersolution;

D O I：

10.1090/S0002-9947-98-02276-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Omega subset of R-N with N greater than or equal to 2. We consider the equations [GRAPHICS] with a(1) greater than or equal to a(2) greater than or equal to .... greater than or equal to a(N) greater than or equal to 0 and a(1) > a(N). We show that if Omega is a convex bounded region in R-N, there exists at least one classical solution to this boundary value problem. If the region is not convex, we show the existence of a weak solution. Partial results for the existence of classical solutions for non-convex domains in R-2 are also given.

引用

页码：2925 / 2937

页数：13

共 50 条

[1] ON A SINGULAR QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEM
杨会生
杨作东
Annals of Differential Equations, 1998, (04) : 672 - 682
[2] On a singular quasilinear elliptic boundary value problem in a ball
Chen, ZC
Zhou, Y
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 45 (07) : 909 - 924
[3] The boundary value problem for quasilinear degenerate and singular elliptic systems
Chen, Zu-Chi
Wang, Quan-Zhen
Li, Du
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (12) : 2962 - 2979
[4] Existence and uniqueness theorems for singular anisotropic quasilinear elliptic boundary value problems
Hill, S
Moore, KS
Reichel, W
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (06) : 1673 - 1683
[5] An inverse boundary value problem for certain anisotropic quasilinear elliptic equations
Carstea, Catalin, I
Feizmohammadi, Ali
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 284 : 318 - 349
[6] A singular elliptic boundary value problem in domains with corners: II. The boundary value problem
Katrakhov, VV
Kiselevskaya, SV
DIFFERENTIAL EQUATIONS, 2006, 42 (04) : 548 - 555
[7] A singular elliptic boundary value problem in domains with corners: II. The boundary value problem
V. V. Katrakhov
S. V. Kiselevskaya
Differential Equations, 2006, 42 : 548 - 555
[8] An existence theorem for a singular quasilinear elliptic boundary value problem with boundary blow-up
Hill, S
Moore, KS
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 38 (08) : 951 - 958
[9] ON A SINGULAR QUASI-LINEAR ANISOTROPIC ELLIPTIC BOUNDARY-VALUE PROBLEM
CHOI, YS
LAZER, AC
MCKENNA, PJ
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (07) : 2633 - 2641
[10] An inverse boundary value problem for quasilinear elliptic equations
Hervas, D
Sun, ZQ
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2002, 27 (11-12) : 2449 - 2490

← 1 2 3 4 5 →