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COMPACTNESS METHODS FOR HÖLDER ESTIMATES OF CERTAIN DEGENERATE ELLIPTIC EQUATIONS

By Fengping Yao, Mijia Lai and Huilian Jia

Abstract

Abstract. In this paper we obtain the interior C 1,α regularity of the quasilinear elliptic equations of divergence form. Our basic tools are the elementary local L ∞ estimates and weak Harnack inequality for second-order linear elliptic equations, and the compactness method. 1

Year: 2014
OAI identifier: oai:CiteSeerX.psu:10.1.1.417.2569
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