DOAJ Open Access 2021

On the $BMO$ and $C^{1,\gamma}$-regularity for a weak solution of fully nonlinear elliptic systems in dimension three and four

Josef Daněček Jana Stará

Abstrak

We consider nonlinear elliptic system of type \begin{equation*} -D_{\alpha}A_{i}^{\alpha}(x,Du)=D_{\alpha}f_{i}^{\alpha} \end{equation*} and give conditions guaranteeing $C^{1,\gamma}$ interior regularity of weak solutions.

Topik & Kata Kunci

Mathematics

Penulis (2)

Josef Daněček

Jana Stará

Format Sitasi

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Daněček, J., Stará, J. (2021). On the $BMO$ and $C^{1,\gamma}$-regularity for a weak solution of fully nonlinear elliptic systems in dimension three and four. https://doi.org/10.14232/ejqtde.2021.1.24

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Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.14232/ejqtde.2021.1.24
Akses: Open Access ✓