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).
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页码：1 / 27
页数：27
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