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

被引：19

作者：

De Filippis, Cristiana ^{[1
]}

机构：

[1] Univ Oxford, Math Inst, Radcliffe Observ Quarter, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 58卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

HOLDER CONTINUITY; MINIMIZERS; FUNCTIONALS; P(X)-ENERGY; CALCULUS; MINIMA; BOUNDARY;

D O I：

10.1007/s00526-019-1483-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that manifold constrained p(x)-harmonic maps are locally C1,0-regular outside a set of zero n-dimensional Lebesgue's measure, for some 0(0,1). We also provide an estimate from above of the Hausdorff dimension of the singular set.

引用

页数：38

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