Partial regularity result of elliptic systems with Dini continuous coefficients and q-growth

2013/07/08 by Kanazawa, Taku
#35B65 #35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1307.1946

Abstract

We establish partial regularity result for vector-valued solutions to second order elliptic system in divergence form. The coefficients safisfies Dini condition respect to (x,u) with growth order lager than 2. We prove C¹-regularity of the solutions outside of singular set.

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