collaborators

6 papers

math.AP2026

Gradient Hölder regularity for singular fractional -Laplace equations

Chao Zhang

Let , , , and . We prove that every globally bounded fractional -harmonic function is locally for some . This settles the op…

math.AP2026

Harnack-type estimates for nonlocal double phase functionals

Yuzhou Fang, Chao Zhang

We establish Harnack-type inequalities for local minimizers of nonlocal double phase functionals, involving an explicit two-radius positive-part tail and a negative far-field tail.…

math.AP2026

Gradient regularity and potential estimates for fractional drift--diffusion equations in the critical and subcritical ranges

Qi Xue, Chao Zhang

We establish scale-invariant interior estimates for bounded viscosity solutions of for with locally Hölder and . The criti…

math.AP2026

Gradient regularity for nonlocal double phase equations

Yuzhou Fang, Chao Zhang

This paper is devoted to investigating the interior regularity of viscosity solutions to the nonlocal double phase equations $$ \int_{\mathbb{R}^d} \left(\frac{|u(x)-u(y…

math.AP2024

Regularity for a class of degenerate fully nonlinear nonlocal elliptic equations

Yuzhou Fang, Vicentiu D. Radulescu, Chao Zhang

We consider a wide class of fully nonlinear integro-differential equations that degenerate when the gradient of the solution vanishes. By using compactness and perturbation argumen…

math.AP2024

Quantitative analysis and its applications for Keller-Segel type systems

Mengyao Ding, Yuzhou Fang, Chao Zhang

In this paper, we utilize the De Giorgi iteration to quantitatively analyze the upper bound of solutions for Keller-Segel type systems. The refined upper bound estimate presented h…