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math.AP2020★ 2 cited
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…
math.AP2020
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…