New Challenges on the Regularity of Minimizers of Functionals

被引：0

作者：

Ragusa, Maria Alessandra ^{[1
]}

Tachikawa, Atsushi ^{[2
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy

[2] Tokyo Univ Sci, Fac Sci & Technol, Dept Math, Noda, Chiba 2788510, Japan

来源：

JOURNAL OF CONVEX ANALYSIS | 2018年 / 25卷 / 02期

关键词：

Regularity; minimizers; non-stardard growth; BOUNDARY-REGULARITY; HOLDER CONTINUITY; OBSTACLE PROBLEMS; DIRICHLET PROBLEM; INTEGRALS; EQUATIONS; MINIMA; SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our aim is to obtain regularity of minimizers of functionals under the nonstandard growth conditions. Starting point is the study made by the authors finalized to investigate the regularity of the minimizers of quadratic functionals, whose integrands have vanishing mean oscillation coefficients, using some majorizations for the functionals, rather than the well known Euler's equation associated with it.

引用

页码：675 / 690

页数：16

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