Sun-sig Byun, Ki-ahm Lee, Jehan Oh, Jinwan Park
Published 2018-01-05Version 1
We study thin obstacle problems involving the energy functional with $p(x)$-growth. We prove higher integrability and H\"{o}lder regularity for the gradient of minimizers of the thin obstacle problems under the assumption that the variable exponent $p(x)$ is H\"{o}lder continuous.
Regularity and the Behavior of Eigenvalues for Minimizers of a Constrained $Q$-tensor Energy for Liquid Crystals
$\mathscr{A}$-free truncation and higher integrability of minimisers
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