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2011 On Carlson's Type Removability Test for the Degenerate Quasilinear Elliptic Equations
Farman I. Mamedov, Aslan D. Quliyev, Mirfaig M. Mirheydarli
Int. J. Differ. Equ. 2011(none): 1-23 (2011). DOI: 10.1155/2011/198606

Abstract

Carlson's type theorem on removable sets for α-Holder continuous solutions is investigated for the quasilinear elliptic equations divA(x,u,u)=0, having degeneration ω in the Muckenhoupt class. In partial, when α 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 Λωp+(p1)α(E)=0.

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Farman I. Mamedov. Aslan D. Quliyev. Mirfaig M. Mirheydarli. "On Carlson's Type Removability Test for the Degenerate Quasilinear Elliptic Equations." Int. J. Differ. Equ. 2011 1 - 23, 2011. https://doi.org/10.1155/2011/198606

Information

Received: 27 May 2011; Accepted: 13 August 2011; Published: 2011
First available in Project Euclid: 25 January 2017

zbMATH: 1237.35075
MathSciNet: MR2847602
Digital Object Identifier: 10.1155/2011/198606

Rights: Copyright © 2011 Hindawi

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