Partial regularity of solutions of nonlinear quasimonotone systems via a lower Lp estimate

被引：0

作者：

Hamburger, Christoph ^{[1
]}

机构：

[1] Univ Bonn, Bonn, Germany

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2024年 / 31卷 / 04期

关键词：

Partial regularity; Weak solution; Nonlinear system; Quasimonotonicity; INTERIOR PARTIAL REGULARITY; ELLIPTIC-SYSTEMS; DIFFERENTIAL-EQUATIONS; MINIMIZERS; INTEGRALS;

D O I：

10.1007/s00030-024-00946-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove partial regularity of solutions u of the nonlinear quasimonotone system div A(x, u, Du)+ B(x, u, Du) = 0 under natural polynomial growth of its coefficient functions A and B. We propose a new direct method based on an L-p estimate with low exponent p > 1 for a linear elliptic system with constant coefficient.

引用

页数：28