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arXiv · 2101.09472

Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth

Christopher Goodrich·Giovanni Scilla·Bianca Stroffolini
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Abstract

We prove the partial H\"older continuity for minimizers of quasiconvex functionals \[ \mathcal{F}({\bf u}) \colon =\int_{\Omega} f(x,{\bf u},D{\bf u})\,\mathrm{d}x, \] where $f$ satisfies a uniform VMO condition with respect to the $x$-variable and is continuous with respect to ${\bf u}$. The growth condition with respect to the gradient variable is assumed a general one.

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Christopher Goodrich, Giovanni Scilla, Bianca Stroffolini. 2021-01-23. Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth. https://arxiv.org/abs/2101.09472

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