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math.CV2024
Uniform estimates of Green functions and Sobolev-type inequalities on real and complex manifolds
Fusheng Deng, Gang Huang, Xiangsen Qin
We prove certain Sobolev-type and Poincaré-type inequalities for functions on real and complex manifolds for the gradient operator , the Laplace operator , and the…
math.NA2024
Numerical calculation method for function integration on submanifolds of or compact Riemannian manifolds
Fusheng Deng, Gang Huang, Yingyi Wu
In this paper, we present a method for digitally representing the "volume element" and calculating the integral of a function on compact hypersurfaces with or without boundary, and…