Local Hölder continuity of weak solutions for an anisotropic elliptic equation

We establish the local Hölder continuity for the nonnegative bounded weak solutions of a certain doubly singular parabolic equation. The proof involves the method of intrinsic scaling and the parabolic version of De Giorgi’s iteration method.

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Local Hölder continuity of weak solutions to a diffusive shallow medium equation

Nonlinear Analysis ◽

10.1016/j.na.2019.03.013 ◽

2019 ◽

Vol 185 ◽

pp. 306-335 ◽

Cited By ~ 3

Author(s):

Thomas Singer ◽

Matias Vestberg

Keyword(s):

Weak Solutions ◽

Hölder Continuity ◽

Holder Continuity ◽

Medium Equation ◽

Local Hölder Continuity

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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 ◽

Cited By ~ 16

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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Local Hölder continuity of nonnegative weak solutions of degenerate parabolic equations

Nonlinear Analysis ◽

10.1016/j.na.2009.12.007 ◽

2010 ◽

Vol 72 (7-8) ◽

pp. 3289-3302 ◽

Cited By ~ 2

Author(s):

Yongzhong Wang

Keyword(s):

Weak Solutions ◽

Parabolic Equations ◽

Hölder Continuity ◽

Degenerate Parabolic Equations ◽

Holder Continuity ◽

Degenerate Parabolic ◽

Local Hölder Continuity

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Remarks on Local Boundedness and Local Holder Continuity of Local Weak Solutions to Anisotropic p-Laplacian Type Equations

Journal of Elliptic and Parabolic Equations ◽

10.1007/bf03377399 ◽

2016 ◽

Vol 2 (1-2) ◽

pp. 157-169 ◽

Cited By ~ 7

Author(s):

Emmanuele Dibenedetto ◽

Ugo Gianazza ◽

Vincenzo Vespri

Keyword(s):

Weak Solutions ◽

Hölder Continuity ◽

Holder Continuity ◽

Local Boundedness ◽

Local Hölder Continuity

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Hölder continuity of weak solutions of a class of linear equations with boundary degeneracy

Journal of Differential Equations ◽

10.1016/j.jde.2007.03.026 ◽

2007 ◽

Vol 239 (1) ◽

pp. 99-131 ◽

Cited By ~ 7

Author(s):

Chunpeng Wang ◽

Lihe Wang ◽

Jingxue Yin ◽

Shulin Zhou

Keyword(s):

Weak Solutions ◽

Hölder Continuity ◽

Linear Equations ◽

Holder Continuity ◽

Boundary Degeneracy

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Local Hölder continuity for some doubly nonlinear parabolic equations in measure spaces

Nonlinear Analysis ◽

10.1016/j.na.2012.11.022 ◽

2013 ◽

Vol 79 ◽

pp. 156-175 ◽

Cited By ~ 4

Author(s):

Eurica Henriques ◽

Rojbin Laleoglu

Keyword(s):

Parabolic Equations ◽

Hölder Continuity ◽

Nonlinear Parabolic Equations ◽

Holder Continuity ◽

Nonlinear Parabolic ◽

Measure Spaces ◽

Doubly Nonlinear ◽

Local Hölder Continuity

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Hölder continuity of weak solutions to subelliptic equations with rough coefficients

Memoirs of the American Mathematical Society ◽

10.1090/memo/0847 ◽

2006 ◽

Vol 180 (847) ◽

pp. 0-0 ◽

Cited By ~ 6

Author(s):

Eric T. Sawyer ◽

Richard L. Wheeden

Keyword(s):

Weak Solutions ◽

Hölder Continuity ◽

Holder Continuity ◽

Subelliptic Equations ◽

Rough Coefficients

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Local Hölder continuity of the isoperimetric profile in complete noncompact Riemannian manifolds with bounded geometry

Geometriae Dedicata ◽

10.1007/s10711-018-0416-4 ◽

2019 ◽

Vol 201 (1) ◽

pp. 1-12 ◽

Cited By ~ 2

Author(s):

Abraham Enrique Muñoz Flores ◽

Stefano Nardulli

Keyword(s):

Riemannian Manifolds ◽

Hölder Continuity ◽

Holder Continuity ◽

Bounded Geometry ◽

Isoperimetric Profile ◽

Noncompact Riemannian Manifolds ◽

Local Hölder Continuity

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