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math.AP2022
Extremal of Log-Sobolev Functionals and Li-Yau Estimate on Spaces
Samuel Drapeau, Liming Yin
In this work, we study the extremal functions of the log-Sobolev functional on compact metric measure spaces satisfying the condition for in …
math.AP2021
-Moment Estimates for the Singular -Laplace Equation and Applications
Samuel Drapeau, Liming Yin
We provide -moment estimates on annuli for weak solutions of the singular -Laplace equation where and are conjugates. We derive -uniform integrability for some cri…