Published Paper
Inserted: 22 aug 2023
Last Updated: 5 jan 2024
Journal: Math. Eng.
Volume: 6
Number: 1
Pages: 1-27
Year: 2024
Doi: doi: 10.3934/mine.2024001
Abstract:
Local minimizers of nonhomogeneous quasiconvex variational integrals with standard $p$-growth of the type $ w \mapsto \int [ F(Dw)-f\cdot w]dx $ feature almost everywhere $\mbox{BMO}$-regular gradient provided that $f$ belongs to the borderline Marcinkiewicz space $L(n,\infty)$.
Keywords: degenerate variational integrals, regularity, quasiconvex functionals
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