On the removability of isolated singularities for degenerating higher-order elliptic equations in divergence form

被引：0

作者：

Cianci, P. ^{[1
]}

D'Asero, S. ^{[1
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2013年 / 58卷 / 10期

关键词：

nonlinear higher order elliptic equation; degenerated equations; Muckenhoupt class; removable isolated singularities; Moser method; 35J30; 35J70; 35B60; INEQUALITIES;

D O I：

10.1080/17476933.2012.686494

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a Serrin-like removability condition of the isolated singularities for solutions of a class of high-order elliptic equations in divergence form whose coefficients satisfy a weighted polynomial growth condition and a weighted ellipticity condition.

引用

页码：1449 / 1465

页数：17

共 16 条

[1]

[Anonymous], TOPOL METHODS NONLIN

[2]

[Anonymous], DIFFERENTIAL EQUATIO

[3]

[Anonymous], NONLINEAR POTENTIAL

[4]

Bottcher A., 1997, Progr. Math., V154

[5] WEIGHTED POINCARE AND SOBOLEV INEQUALITIES AND ESTIMATES FOR WEIGHTED PEANO MAXIMAL FUNCTIONS [J].

CHANILLO, S ;

WHEEDEN, RL .

AMERICAN JOURNAL OF MATHEMATICS, 1985, 107 (05) :1191-1226

[6] On removability of the isolated singularity for solutions of high-order elliptic equations [J].

D'Asero, S. .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2010, 55 (5-6) :525-536

[7]

D'Asero S., 2003, APPL ANAL, V82, P55

[8]

Ladyzhenskaya O. A., 1967, LINEAR QUASILINEAR E

[9] Isolated singularities of solutions to quasi-linear elliptic equations with absorption [J].

Liskevich, Vitali ;

Skrypnik, I. I. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (01) :536-544

[10] On the removability of isolated singular points for degenerating nonlinear elliptic equations [J].

Mamedov, Farman I. ;

Harman, Aziz .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :6290-6298

← 1 2 →