
 
Continuity of Almost Harmonic Maps with the Perturbation Term in a Critical Space 
 
Citation： 
Guangsheng YU,Mati ur RAHMAN,Yingshu L¨U.Continuity of Almost Harmonic Maps with the Perturbation Term in a Critical Space[J].Chinese Annals of Mathematics B,2022,43(4):585~600 
Page view： 112
Net amount： 117 
Authors： 
Guangsheng YU; Mati ur RAHMAN;Yingshu L¨U 


Abstract： 
The authors study the continuity estimate of the solutions of almost harmonic maps with the perturbation term f in a critical integrability class (Zygmund class) L^{n/2} log^{q} L, n is the dimension with n ≥ 3. They prove that when q > n/2 the solution must be continuous and they can get continuity modulus estimates. As a byproduct of their method, they also study boundary continuity for the almost harmonic maps in high dimension. 
Keywords： 
Harmonic maps, Nonlinear elliptic PDE, Boundary regularity 
Classification： 
58E20, 35B65, 35J60, 35S05, 35S15 

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