The method of A-harmonic approximation and optimal interior partial regularity for nonlinear elliptic systems under the controllable growth condition |
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Authors: | Shuhong Chen |
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Institution: | School of Mathematical Science, Xiamen University, Fujian, Xiamen 361005, China |
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Abstract: | In this paper, we consider the nonlinear elliptic systems under controllable growth condition. We use a new method introduced by Duzaar and Grotowski, for proving partial regularity for weak solutions, based on a generalization of the technique of harmonic approximation. We extend previous partial regularity results under the natural growth condition to the case of the controllable growth condition, and directly establishing the optimal Hölder exponent for the derivative of a weak solution. |
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Keywords: | Nonlinear elliptic systems Controllable growth condition Optimal partial regularity A-harmonic approximation technique |
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