5 citations · 7 across the 17 of their papers we have counts for
18 papers
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.…
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…
Regularity theory for degenerate fully nonlinear nonlocal equations with a Hamiltonian term
Yuzhou Fang, Juha Kinnunen, Chao Zhang
We investigate a class of degenerate fully nonlinear nonlocal elliptic equations with Hamiltonian terms. By precisely characterizing the interaction between the degeneracy law of e…
Higher Sobolev regularity for mixed local and nonlocal equations with nonstandard growth
Yuzhou Fang, Dingding Li, Chao Zhang
We develop a systematic study of the interior Sobolev regularity of weak solutions to the mixed local and nonlocal -Laplace equations, which model the superposition of two s…
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…
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…