A limiting case in partial regularity for quasiconvex functionals

Autor: Mirco Piccinini
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematics in Engineering, Vol 6, Iss 1, Pp 1-27 (2024)
Druh dokumentu: article
ISSN: 2640-3501
DOI: 10.3934/mine.2024001?viewType=HTML
Popis: Local minimizers of nonhomogeneous quasiconvex variational integrals with standard $ p $-growth of the type $ w\mapsto \int \left[F(Dw)-f\cdot w\right]{\,{{\rm{d}}}x} $ feature almost everywhere $ \mbox{BMO} $-regular gradient provided that $ f $ belongs to the borderline Marcinkiewicz space $ L(n, \infty) $.
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