A limiting case in partial regularity for quasiconvex functionals

被引：0

作者：

Piccinini, Mirco ^{[1
]}

机构：

[1] Univ Parma, Dipartimento Matemat & Informat, Campus Parco Area Sci 53-a, I-43124 Parma, Italy

来源：

MATHEMATICS IN ENGINEERING | 2024年 / 6卷 / 01期

关键词：

regularity; quasiconvex functionals; degenerate variational integrals; HARMONIC APPROXIMATION; LOWER SEMICONTINUITY; ELLIPTIC-SYSTEMS; MINIMIZERS; QUASICONVEXITY; CALCULUS;

D O I：

10.3934/mine.2024001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Local minimizers of nonhomogeneous quasiconvex variational integrals with standard p -growth of the type w bar right arrow integral[F(Dw) - f . w] dx feature almost everywhere BMO-regular gradient provided that f belongs to the borderline Marcinkiewicz space L(n, infinity).

引用

页码：1 / 27

页数：27

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