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| Continuity of Almost Harmonic Maps with the Perturbation Term in a Critical Space |
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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： 542
Net amount： 541 |
Authors： |
Guangsheng YU; Mati ur RAHMAN;Yingshu L¨U |
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| 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) Ln/2 logq 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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