Hoelder continuity of solutions to an anisotropic elliptic equation

Hoelder continuity of solutions to an anisotropic elliptic equation

For a class of anisotropic quasi-linear elliptic equations with measurable coefficients, following DiBenedetto's intrinsic rescaling method, we prove the Hoelder continuity of solutions under the condition for which only local boundedness was known.

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Veröffentlicht in:Nonlinear analysis 2009-09, Vol.71 (5-6), p.1699-1708
Hauptverfasser: Liskevich, Vitali, Skrypnik, Igor I
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container_title Nonlinear analysis
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creator Liskevich, Vitali
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description For a class of anisotropic quasi-linear elliptic equations with measurable coefficients, following DiBenedetto's intrinsic rescaling method, we prove the Hoelder continuity of solutions under the condition for which only local boundedness was known.
doi_str_mv 10.1016/j.na.2009.01.007
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title Hoelder continuity of solutions to an anisotropic elliptic equation
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