A Local Hlder Estimate of(K_1, K_2)-Quasiconformal Mappings between Hypersurfaces |
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基金项目: | Supported by National Natural Science Foundation of China (Grant No. 11371050) |
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摘 要: | In this paper, we prove a local H¨older estimate of(K1, K2)-quasiconformal mappings between n-dimensional hypersurfaces of Rn+1under an assumption of bounded mean curvature of the original hypersurface M. With some new ingredients of the isoperimetric inequality and the co-area formula on manifolds, we extend Simon's work of quasiconformal mappings on surfaces of R3 to the setting of n-dimensional hypersurfaces of Rn+1.
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