On Carlson's Type Removability Test for the Degenerate Quasilinear Elliptic Equations

被引：0

作者：

Mamedov, Farman I. ^{[1
]}

Quliyev, Aslan D. ^{[1
]}

Mirheydarli, Mirfaig M. ^{[1
]}

机构：

[1] Natl Acad Sci, Inst Math & Mech, F Agaev 9, Baku Az 141, Azerbaijan

来源：

INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 2011卷

关键词：

D O I：

10.1155/2011/198606

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Carlson's type theorem on removable sets for alpha-Holder continuous solutions is investigated for the quasilinear elliptic equations divA(x, u, del u),having degeneration. in the Muckenhoupt class. In partial, when a is sufficiently small and the operator is weighted p-Laplacian, we show that the compact set E is removable if and only if the Hausdorff measure. Lambda(-p+(p-1)alpha)(omega) (E) = 0.

引用

页数：23

共 50 条

[1] Regularity for quasilinear degenerate elliptic equations
Di Fazio, G.
Zamboni, P.
MATHEMATISCHE ZEITSCHRIFT, 2006, 253 (04) : 787 - 803
[2] Regularity for quasilinear degenerate elliptic equations
G. Di Fazio
P. Zamboni
Mathematische Zeitschrift, 2006, 253 : 787 - 803
[3] Solvability of degenerate quasilinear elliptic equations
Leonardi, S
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (06) : 1053 - 1060
[4] Solvability of degenerate quasilinear elliptic equations
Dipartimento di Matematica, Università di Catania, Viale A. Doria, 6-95125 Catania, Italy
Nonlinear Anal Theory Methods Appl, 6 (1053-1060):
[5] Regularity of a class of quasilinear degenerate elliptic equations
Guan, PF
ADVANCES IN MATHEMATICS, 1997, 132 (01) : 24 - 45
[6] Existence of solutions for quasilinear degenerate elliptic equations
Akdim, Y.
Azroul, E.
Benkirane, A.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2001,
[7] Quasilinear degenerate elliptic equations with absorption term
Horiuchi, T
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1999, 75 (07) : 122 - 125
[8] Existence of solutions for degenerate quasilinear elliptic equations
Zou, Weilin
Li, Fengquan
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (09) : 3069 - 3082
[9] REMOVABILITY THEOREMS FOR SOLUTIONS OF DEGENERATE ELLIPTIC PARTIAL-DIFFERENTIAL EQUATIONS
KOSKELA, P
MARTIO, O
ARKIV FOR MATEMATIK, 1993, 31 (02): : 339 - 353
[10] On a class of degenerate quasilinear elliptic equations with zero mass
de Oliveira, Jose Francisco
Miyagaki, Olimpio H.
Moreira, Sandra, I
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, 67 (11) : 2719 - 2746

← 1 2 3 4 5 →