Journal
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Volume 21, Issue 12, Pages 4173-4214Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/cpaa.2022140
Keywords
boundary partial regularity; Morrey estimates; general growth; VMO condition
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Funding
- National Research Foundation of Korea - Korean Government [NRF-2022R1C1C1004523]
- Italian Ministry of Education, University and Research through the MIUR PRIN [2017BTM7SN]
- PRIN Project [2017TEXA3H]
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This passage discusses the issue of partial Holder continuity for the boundary points of minimizers of quasiconvex non-degenerate functionals.
We prove the partial Holder continuity on boundary points for minimizers of quasiconvex non-degenerate functionals F(u) : = integral(Omega) f (x, u, Du) dx, where f satisfies a uniform VMO condition with respect to the x-variable, is continuous with respect to u and has a general growth with respect to the gradient variable.
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