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On Sharp Beckner's Inequality for Axially Symmetric Functions on
Tuoxin Li, Juncheng Wei, Zikai Ye
We prove a sharp Beckner's inequality for axially symmetric functions on . The key ingredients of our proof is some pointwise quantitative properties of Gegenbauer polynomials…
math.AP2022
2D Thin obstacle problem with data at infinity
Runcao Lyu, Zikai Ye
In this paper, we consider the thin obstacle problem in with data at infinity. We first prove the existence and uniqueness of it. Then we show that its symmetric sol…