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math.DG2014★ 13 cited
A Gaussian upper bound of the conjugate heat equation along an extended Ricci flow
Xian-Gao Liu, Kui Wang
In this paper, we derive a Sobolev inequality along an extended Ricci flow and prove a point-wise Guassian type bound for the fundamental solutions of the conjugate heat equation u…
math.DG2014
Isoperimetric comparisons via viscosity
Lei Ni, Kui Wang
Viscosity solutions are suitable notions in the study of nonlinear PDEs justified by estimates established via the maximum principle or the comparison principle. Here we prove that…
math.DG2014
First eigenvalue for p-Laplacian with mixed boundary conditions on manifolds
Kui Wang
In this paper, we mainly study eigenvalue problems of p-Laplacian on domains with an interior hole. Firstly we prove Faber-Krahn-type inequalities, and Cheng-type eigenvalue compar…