-regularity of a geometrically nonlinear flat Cosserat micropolar model in supercritical dimensions

CY Guo, CL Xiang, ML Liu - arXiv preprint arXiv:2404.16284, 2024 - arxiv.org
In a recent work [Ann. Inst. H. Poincar\'e C Anal. Non Lin\'eaire 2024], Gastel and Neff
introduced an interesting system from a geometrically nonlinear flat cosserat micropolar …

Optimal higher regularity for biharmonic maps via quantitative stratification

CY Guo, GC Jiang, CL Xiang, GF Zheng - arXiv preprint arXiv:2401.11177, 2024 - arxiv.org
This little note is devoted to refining the almost optimal regularity results of Breiner and
Lamm\cite {Breiner-Lamm-2015} on minimizing and stationary biharmonic maps via the …

Refined conservation law for an even order elliptic system with antisymmetric potential

C Guo, C Xiang, G Zheng - Acta Mathematica Scientia, 2024 - Springer
REFINED CONSERVATION LAW FOR AN EVEN ORDER ELLIPTIC SYSTEM WITH
ANTISYMMETRIC POTENTIAL Page 1 Acta Mathematica Scientia, 2024, 44B(6): 2111–2124 …

On wave systems with antisymmetric potential in dimension d>= 4 and well-posedness for (half-) wave maps

SR Farina, A Schikorra - arXiv preprint arXiv:2404.19421, 2024 - arxiv.org
We prove a priori estimates for wave systems of the type\[\partial_ {tt} u-\Delta
u=\Omega\cdot du+ F (u)\quad\text {in $\mathbb {R}^ d\times\mathbb {R} $}\] where $ d\geq …

Sharp Morrey regularity for an even order elliptic system

CY Guo, WJ Qi - arXiv preprint arXiv:2309.13522, 2023 - arxiv.org
In this short note, we establish a sharp Morrey regularity theory for an even order elliptic
system of Rivi\ere type:\begin {equation*}\Delta^{m} u=\sum_ {l= 0}^{m-1}\Delta^{l}\left\langle …

Sharp Morrey regularity theory for a fourth order geometrical equation

C Xiang, G Zheng - Acta Mathematica Scientia, 2024 - Springer
This paper is a continuation of recent work by Guo-Xiang-Zheng [10]. We deduce the sharp
Morrey regularity theory for weak solutions to the fourth order nonhomogeneous Lamm …

Global conservation law for an even order elliptic system with antisymmetric potential

CY Guo, CL Xiang, GF Zheng - arXiv preprint arXiv:2202.09043, 2022 - arxiv.org
arXiv:2202.09043v1 [math.AP] 18 Feb 2022 Page 1 arXiv:2202.09043v1 [math.AP] 18 Feb
2022 GLOBAL CONSERVATION LAW FOR AN EVEN ORDER ELLIPTIC SYSTEM WITH …