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HÖLDER CONTINUITY OF WEAK SOLUTIONS FOR DEGENERATE QUASILINEAR SUBELLIPTIC SYSTEMS WITH DIFFERENT WEIGHTS

XUEWE CUI

Department of Applied Mathematics, Northwestern Polytechnical, Xi'an 710072, P. R. China

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PENGCHENG NIU

Department of Applied Mathematics, Northwestern Polytechnical, Xi'an 710072, P. R. China

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YONGZHONG WANG

Department of Applied Mathematics, Northwestern Polytechnical, Xi'an 710072, P. R. China

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https://doi.org/10.1142/S0219199712500113Cited by:0 (Source: Crossref)

Abstract

We establish Hölder continuity of weak solutions for degenerate quasilinear subelliptic systems with different weights, with weak Harnack inequalities obtained here and a generalization of Caffarelli's idea.

Keywords:

AMSC: 35D10, 35H20, 35J70

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