Mathematics > Analysis of PDEs
[Submitted on 19 Jun 2018 (v1), last revised 24 Jan 2019 (this version, v3)]
Title:Partial regularity for manifold constrained p(x)-harmonic maps
View PDFAbstract: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.
Submission history
From: Cristiana De Filippis [view email][v1] Tue, 19 Jun 2018 16:08:35 UTC (34 KB)
[v2] Mon, 26 Nov 2018 18:44:58 UTC (36 KB)
[v3] Thu, 24 Jan 2019 17:51:04 UTC (37 KB)
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