On the Hausdorff dimension of the singular set of stable-stationary harmonic maps

Research Report MRR97-041

On the Hausdorff dimension of the singular set of stable-stationary harmonic maps

Min-Chun Hong

Abstract: In this paper, we prove that the Hausdorff dimension of the singular set of any stable-stationary weak harmonic map from a domain of $\Bbb{R}^n$ into

with $k\geq 4$ is less than or equal to n-3.

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