116 citations · 124 across the 7 of their papers we have counts for
4 papers · 1 filter
On a class of quasilinear operators on smooth metric measure spaces
Xiaolong Li, Yucheng Tu, Kui Wang
We derive sharp estimates on the modulus of continuity for solutions of a large class of quasilinear isotropic parabolic equations on smooth metric measure spaces (with Dirichlet o…
Locally Maximizing Metric of Width on Manifolds with Boundary
Yucheng Tu
In this paper we use min-max theory to study the existence free boundary minimal hypersurfaces (FBMHs) in compact manifolds with boundary , where $2\leq n…
On the Lower Bound of the Principal Eigenvalue of a Nonlinear Operator
Yucheng Tu
We prove sharp lower bound estimates for the first nonzero eigenvalue of the non-linear elliptic diffusion operator on a smooth metric measure space, without boundary or with…
Anisotropic Isoperimetric Inequality outside Euclidean Ball
Yucheng Tu
We prove an sharp anisotropic isoperimetric inequality for a domain outside an Euclidean ball in for . The proof applies the ABP method to a Neumann boundar…