Free boundary and mixed boundary value problems for quasilinear elliptic equations: tangential oblique derivative and degenerate Dirichlet boundary problems

被引：12

作者：

Kim, EH ^{[1
]}

机构：

[1] Calif State Univ Long Beach, Dept Math, Long Beach, CA 90840 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年 / 211卷 / 02期

基金：

美国国家科学基金会;

关键词：

degenerate elliptic equations; free boundary; tangential oblique boundary; mixed boundary; Harnack inequality; Holder gradient estimates; transonic flows;

D O I：

10.1016/j.jde.2004.07.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present Holder estimates and Holder gradient estimates for a class of free boundary problems with tangential oblique derivative boundary conditions provided the oblique vector beta does not vanish at any point on the boundary. We also establish the existence result for a general class of quasilinear degenerate problems of this type including nonlinear wave systems and the unsteady transonic small disturbance equation. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：407 / 451

页数：45

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