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arXiv · 1806.07325

Partial regularity for manifold constrained p(x)-harmonic maps

Cristiana De Filippis
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Abstract

We prove that manifold constrained $p(x)$-harmonic maps are $C^{1,\beta}$-regular outside a set of zero $n$-dimensional Lebesgue's measure, for some $\beta \in (0,1)$. We also provide an estimate from above of the Hausdorff dimension of the singular set.

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Cristiana De Filippis. 2018-06-19. Partial regularity for manifold constrained p(x)-harmonic maps. https://arxiv.org/abs/1806.07325

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