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

[21] Existence of entropy solutions for degenerate quasilinear elliptic equations [J].

Cavalheiro, Albo Carlos .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2008, 53 (10) :945-956

[22] On some properties of the solutions of quasilinear degenerate elliptic equations [J].

Kondratiev, W ;

Nicolosi, F .

MATHEMATISCHE NACHRICHTEN, 1996, 182 :243-260

[23] Harnack inequality and regularity for degenerate quasilinear elliptic equations [J].

Di Fazio, G. ;

Fanciullo, M. S. ;

Zamboni, P. .

MATHEMATISCHE ZEITSCHRIFT, 2010, 264 (03) :679-695

[24] On boundary value problems for degenerate quasilinear elliptic equations and inequalities [J].

Le, VK ;

Schmitt, K .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 144 (01) :170-218

[25] Positive Solution for a Class of Degenerate Quasilinear Elliptic Equations in RN [J].

Bastos, Waldemar D. ;

Miyagaki, Olimpio H. ;

Vieira, Ronei S. .

MILAN JOURNAL OF MATHEMATICS, 2014, 82 (02) :213-231

[26] Positive Solution for a Class of Degenerate Quasilinear Elliptic Equations in RN [J].

Waldemar D. Bastos ;

Olimpio H. Miyagaki ;

Rônei S. Vieira .

Milan Journal of Mathematics, 2014, 82 :213-231

[27] Removable singularities for quasilinear degenerate elliptic equations with absorption term [J].

Horiuchi, T .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2001, 53 (03) :513-540

[28] On a Class of Quasilinear Elliptic Equations with Degenerate Coerciveness and Measure Data [J].

Smarrazzo, Flavia .

ADVANCED NONLINEAR STUDIES, 2018, 18 (02) :361-392

[29] An existence and approximation theorem for solutions of degenerate quasilinear elliptic equations [J].

Cavalheiro, Albo Carlos .

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2018, 59 (01) :65-80

[30] ON DIRICHLET PROBLEMS FOR SECOND ORDER QUASILINEAR DEGENERATE ELLIPTIC EQUATIONS [J].

乐经良 .

Chinese Annals of Mathematics, 1984, (01) :43-58

← 1 2 3 4 5 →