On removability of the isolated singularity for solutions of high-order elliptic equations

被引：17

作者：

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

机构：

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

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2010年 / 55卷 / 5-6期

关键词：

removable singularity; Moser method; nonlinear high-order elliptic equation;

D O I：

10.1080/17476931003728362

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Serrin-like condition is found for removability of the isolated singularity for high-order elliptic equations in divergent form whose coefficients satisfy a polynomial growth conditions and an ellipticity condition stronger than one that usually is considered for high-order elliptic equations.

引用

页码：525 / 536

页数：12

共 6 条

[1]

[Anonymous], DIFFERENTIAL EQUATIO

[2] Precise point-wise growth conditions for removable isolated singularities [J].

Nicolosi, F ;

Skrypnik, IV ;

Skrypnik, II .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2003, 28 (3-4) :677-696

[3] LOCAL BEHAVIOR OF SOLUTIONS OF QUASI-LINEAR EQUATIONS [J].

SERRIN, J .

ACTA MATHEMATICA, 1964, 111 (3-4) :247-302

[4]

Serrin J., 1965, Acta Math, V113, P219

[5]

SKRYPNIK IV, 1994, AM MATH SOC TRANSL S

[6]

Veron L., 1995, PITMAN RES NOTES MAT, V353

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