Hölder continuity of solutions to a degenerate elliptic equation in the presence of the Lavrentiev phenomenon

Applicable Analysis ◽

10.1080/00036811.2014.936404 ◽

2014 ◽

Vol 93 (10) ◽

pp. 2057-2075

Author(s):

Yu. A. Alkhutov ◽

V.V. Zhikov

Keyword(s):

Elliptic Equation ◽

Hölder Continuity ◽

Degenerate Elliptic Equation ◽

Holder Continuity ◽

Lavrentiev Phenomenon ◽

Continuity Of Solutions ◽

Degenerate Elliptic

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Everywhere Hölder Continuity of Solutions of Certain Degenerate Elliptic Systems

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1996.0403 ◽

1996 ◽

Vol 203 (3) ◽

pp. 654-671

Author(s):

Yu Mingqi ◽

Liang Xiting

Keyword(s):

Hölder Continuity ◽

Elliptic Systems ◽

Holder Continuity ◽

Continuity Of Solutions ◽

Degenerate Elliptic

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Hölder continuity of solutions of an elliptic equation uniformly degenerating on part of the domain

Differential Equations ◽

10.1134/s0012266109010066 ◽

2009 ◽

Vol 45 (1) ◽

pp. 53-58 ◽

Author(s):

Yu. A. Alkhutov ◽

S. T. Guseinov

Keyword(s):

Elliptic Equation ◽

Hölder Continuity ◽

Holder Continuity ◽

Continuity Of Solutions

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Hölder Continuity of Solutions to an Elliptic Equation with Drift Degenerating in a Part of the Domain

Journal of Mathematical Sciences ◽

10.1007/s10958-020-04837-7 ◽

2020 ◽

Vol 247 (6) ◽

pp. 759-768

Author(s):

M. D. Aliev ◽

Yu. A. Alkhutov

Keyword(s):

Elliptic Equation ◽

Hölder Continuity ◽

Holder Continuity ◽

Continuity Of Solutions

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Hölder continuity of solutions to an anisotropic elliptic equation

Nonlinear Analysis ◽

10.1016/j.na.2009.01.007 ◽

2009 ◽

Vol 71 (5-6) ◽

pp. 1699-1708 ◽

Author(s):

Vitali Liskevich ◽

Igor I. Skrypnik

Keyword(s):

Elliptic Equation ◽

Hölder Continuity ◽

Holder Continuity ◽

Anisotropic Elliptic Equation ◽

Continuity Of Solutions

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The study of the main boundary value problems for one degenerate elliptic equation by the method of potentials

Russian Mathematics ◽

10.3103/s1066369x07010057 ◽

2007 ◽

Vol 51 (1) ◽

pp. 30-40

Author(s):

A. M. Nigmedzyanova

Keyword(s):

Elliptic Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Degenerate Elliptic Equation ◽

Method Of Potentials ◽

Degenerate Elliptic

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The Finite Element Method for a Degenerate Elliptic Equation

SIAM Journal on Numerical Analysis ◽

10.1137/0724051 ◽

1987 ◽

Vol 24 (4) ◽

pp. 788-815 ◽

Author(s):

Donald A. French

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Equation ◽

Degenerate Elliptic Equation ◽

The Finite Element Method ◽

Degenerate Elliptic ◽

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On the minimal solution for quasilinear degenerate elliptic equation and its blow-up

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250283558 ◽

2004 ◽

Vol 44 (2) ◽

pp. 381-439 ◽

Author(s):

Toshio Horiuchi ◽

Peter Kumlin

Keyword(s):

Elliptic Equation ◽

Blow Up ◽

Degenerate Elliptic Equation ◽

Minimal Solution ◽

Degenerate Elliptic ◽

Quasilinear Degenerate Elliptic Equation

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A cell-centered finite difference method for a degenerate elliptic equation arising from two-phase mixtures

Computational Geosciences ◽

10.1007/s10596-017-9649-9 ◽

2017 ◽

Vol 21 (4) ◽

pp. 701-712 ◽

Author(s):

Todd Arbogast ◽

Abraham L. Taicher

Keyword(s):

Elliptic Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Degenerate Elliptic Equation ◽

Two Phase ◽

Degenerate Elliptic ◽

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A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures

SIAM Journal on Numerical Analysis ◽

10.1137/16m1067846 ◽

2016 ◽

Vol 54 (5) ◽

pp. 3105-3122 ◽

Author(s):

Todd Arbogast ◽

Abraham L. Taicher

Keyword(s):

Elliptic Equation ◽

Degenerate Elliptic Equation ◽

Two Phase ◽

Degenerate Elliptic ◽

Linear Degenerate

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Hölder continuity of solutions to quasilinear elliptic equations with measure data

Potential Theory in Matsue ◽

10.2969/aspm/04410327 ◽

2019 ◽

Author(s):

Takayori Ono

Keyword(s):

Elliptic Equations ◽

Hölder Continuity ◽

Quasilinear Elliptic Equations ◽

Measure Data ◽

Holder Continuity ◽

Continuity Of Solutions ◽

Quasilinear Elliptic

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