Partial H\"older continuity for minimizers of discontinuous quasiconvex integrals with VMO coefficients and general growth.
2021
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.
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
43
References
2
Citations
NaN
KQI