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

✍ Scribed by Alkhutov, Yu. A.; Zhikov, V.V.

Book ID
125529779
Publisher
Taylor and Francis Group
Year
2014
Tongue
English
Weight
236 KB
Volume
93
Category
Article
ISSN
0003-6811

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Hölder continuity of solutions to an anisotropic elliptic equation
✍ Vitali Liskevich; Igor I. Skrypnik 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 626 KB

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