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

Taku Kanazawa

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arXiv · 1307.1946

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

Taku Kanazawa

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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 $C^1$-regularity of the solutions outside of singular set.

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Taku Kanazawa. 2013-07-08. Partial regularity result of elliptic systems with Dini continuous coefficients and $q$-growth. https://arxiv.org/abs/1307.1946

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