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BOUNDARY PARTIAL REGULARITY FOR MINIMIZERS OF DISCONTINUOUS QUASICONVEX INTEGRALS WITH GENERAL GROWTH
- Ok, Jihoon;
- Scilla, Giovanni;
- Stroffolini, Bianca
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3초록
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.
키워드
boundary partial regularity; Morrey estimates; general growth; VMO condition; NONLINEAR ELLIPTIC-SYSTEMS; HARMONIC APPROXIMATION; SINGULAR SET; MINIMA; FUNCTIONALS; CONTINUITY; EQUATIONS
- 제목
- BOUNDARY PARTIAL REGULARITY FOR MINIMIZERS OF DISCONTINUOUS QUASICONVEX INTEGRALS WITH GENERAL GROWTH
- 저자
- Ok, Jihoon; Scilla, Giovanni; Stroffolini, Bianca
- 발행일
- 2022-12
- 유형
- Article
- 권
- 21
- 호
- 12
- 페이지
- 4173 ~ 4214