On the regularity of the ω-minima of φ-functionals

被引：8
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：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 194卷
基金：
英国工程与自然科学研究理事会;
关键词：
Regularity; omega-minima; phi-functionals; Orlicz spaces; SINGULAR SET; ELLIPTIC-EQUATIONS; HOLDER REGULARITY; MINIMIZERS; EXISTENCE;
D O I：
10.1016/j.na.2019.02.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We focus on some regularity properties of omega-minima of variational integrals with phi-growth and provide an upper bound on the Hausdorff dimension of their singular set. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：25
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