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Sobolev不等式关于梯度的最优稳定性
Sobolev不等式 梯度 最优稳定性
2023/1/5
We prove a sharp quantitative version of the p-Sobolev inequality for any 1ol on the strongest possible distance from the class of optimal functions. Surprisingly, the sharp exponent... 
Diffeomorphic approximation of Sobolev homeomorphisms
Approximation Sobolev homeomorphism di eomorphism p-harmonic
2010/11/26
Every homeomorphism h: X ! Y between planar open sets that belongs to the Sobolev class W 1;p(X;Y), 1 < p < 1, can be approximated in the Sobolev norm by C1-smooth di eomorphisms.
A geometric Kirchoff -Sobolev parametrix for the wave equation and applications
Kirchoff -Sobolev parametrix wave equation applications
2014/4/3
Together with I. Rordnianski we construct a first order, physical space, parametrix for solutions to covariant, tensorial, wave equations on a general Lorentzian manifold. The construction is entirely...