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.
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页数：28
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