Regularity of solutions for a fourth-order elliptic system via conservation law

CY Guo, CL Xiang - Journal of the London Mathematical Society …, 2020 - infoscience.epfl.ch
In this paper, we obtain interior Holder continuity for solutions of the fourth-order elliptic
system Delta (2) u= Delta (V center dot del u)+ div (w del u)+ W center dot del u formulated …

Continuity estimates for n-harmonic equations

T Iwaniec, J Onninen - Indiana University mathematics journal, 2007 - JSTOR
We investigate the nonhomogeneous n-harmonic equation div|▽ u| n–2▽ u= f for u in the
Sobolev space 𝓦1, n (Ω), where f is a given function in the Zygmund class 𝓛 logα 𝓛 (Ω). In …

Invitation to -systems in higher dimensions: known results, new facts, and related open problems

A Schikorra, P Strzelecki - EMS Surveys in Mathematical Sciences, 2017 - ems.press
In this paper, we discuss two well-known open problems in the regularity theory for
nonlinear, conformally invariant elliptic systems in dimensions n 3, with a critical …

Regularity of the m-symphonic map

M Misawa, N Nakauchi - Partial Differential Equations and Applications, 2021 - Springer
Regularity of the m-symphonic map | Partial Differential Equations and Applications Skip to
main content SpringerLink Account Menu Find a journal Publish with us Track your research …

Optimal quantitative stability of the M\" obius group of the sphere in all dimensions

A Guerra, X Lamy, K Zemas - arXiv preprint arXiv:2401.06593, 2024 - arxiv.org
In any dimension $ n\geq 3$, we prove an optimal stability estimate for the M\" obius group
among maps $ u\colon\mathbb S^{n-1}\to\mathbb R^ n $, of the form $\inf_ {\lambda> …

[PDF][PDF] A compactness theorem of -harmonic maps

CY Wang - Annales de l'IHP Analyse non linéaire, 2005 - numdam.org
A compactness theorem of n-harmonic maps Un théorème de compacité pour applications n-harmoniques
Page 1 Ann. IH Poincaré – AN 22 (2005) 509–519 www.elsevier.com/locate/anihpc A …

A global existence result for the heat flow of higher dimensional H-systems

C Leone, M Misawa, A Verde - Journal de mathématiques pures et …, 2012 - Elsevier
A global existence result for the heat flow of higher dimensional H-systems Page 1 Available
online at www.sciencedirect.com J. Math. Pures Appl. 97 (2012) 282–294 www.elsevier.com/locate/matpur …

[PDF][PDF] 逼近双调和映射的紧性

郑神州, 舒连青 - 北京交通大学学报, 2012 - jdxb.bjtu.edu.cn
逼近双调和映射的紧性 Page 1 第36卷第6期 北京交通大学学报 V01.36 No.6 2Q12笙!至旦 .!Q堡垒
]鱼生Q垦旦曼型!鬯鱼!!!垒鱼堕堕鱼堕堕!堡!堡!!¥!窒;2垒12 文章编号:1673—0291(2012)06—0137—04 …

The heat flow for H-systems on higher dimensional manifolds

MC Hong, D Hsu - Indiana University mathematics journal, 2010 - JSTOR
The Heat Flow for H-systems on Higher Dimensional Manifolds Page 1 The Heat Flow for H-systems
on Higher Dimensional Manifolds Min-Chun Hong & Deliang Hsu ABSTRACT. In this paper …

The discrete Morse flow method for parabolic p-Laplacian systems

N Kato, M Misawa, Y Yamaura - Annali di Matematica Pura ed Applicata …, 2021 - Springer
A regularity for a parabolic p-Laplacian system (p> 2)(p> 2) is studied by the use of the
discrete Morse flow method which is known as one of the ways to approximate a solution to …