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arXiv · 2108.11796

Boundary partial regularity for minimizers of discontinuous quasiconvex integrals with general growth

Jihoon Ok·Giovanni Scilla·Bianca Stroffolini
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Abstract

We prove the partial H\"older continuity on boundary points for minimizers of quasiconvex non-degenerate functionals \begin{equation*} \mathcal{F}({\bf u}) \colon =\int_{\Omega} f(x,{\bf u},D{\bf u})\,\mathrm{d}x, \end{equation*} where $f$ satisfies a uniform VMO condition with respect to the $x$-variable, is continuous with respect to ${\bf u}$ and has a general growth with respect to the gradient variable.

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Jihoon Ok, Giovanni Scilla, Bianca Stroffolini. 2021-08-26. Boundary partial regularity for minimizers of discontinuous quasiconvex integrals with general growth. https://arxiv.org/abs/2108.11796

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