Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth
Keyword(s):
We prove the partial Hölder continuity for minimizers of quasiconvex functionals \begin{equation*} \mathcal{F}({\bf u}) \colon =\int_{\Omega} f(x,{\bf u},D{\bf u})\,\textrm{d} x, \end{equation*} 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.
1984 ◽
Vol 284
(1)
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pp. 371-371
2007 ◽
Vol 239
(1)
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pp. 99-131
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Keyword(s):
2021 ◽
Vol 2
(2)
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Keyword(s):