Yirui Zhao

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20222026

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math.AP2026

Sharp Truncated Difference Estimates for Nonlocal Nonconvex Functionals Defined by Superlevel Sets

Feng Dai, Dachun Yang, Wen Yuan +1

Let $N \in N$ and $p \in [1, \infty)$ . In this article, we consider a family ${Φ_{λ, p}^{γ}}_{λ \in (0, \infty)}$ of nonlocal nonconvex functionals with a real parameter $γ$ and est…

math.AP2025

Gradient continuity estimates for elliptic equations of singular $p$ -Laplace type with measure data

Longjuan Xu, Yirui Zhao

In this paper, we are concerned with elliptic equations of $p$ -Laplace type with measure data, which is given by $- d i v (a (x) (∣\nabla u ∣^{2} + s^{2})^{\frac{p - 2}{2}} \nabla u) = μ$ wi…

Sharp Truncated Difference Estimates for Nonlocal Nonconvex Functionals Defined by Superlevel Sets

Gradient continuity estimates for elliptic equations of singular p-Laplace type with measure data

Gradient continuity estimates for elliptic equations of singular $p$ -Laplace type with measure data