A singular quasilinear anisotropic elliptic boundary value problem. II

被引：22

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 10 条

[1]

[Anonymous], 1973, LECT NOTES MATH

[2] An elliptic problem arising from the unsteady transonic small disturbance equation [J].