Dingding Li

collaborators

4 papers

math.AP2026

HÃ¶lder regularity for the parabolic perturbed fractional 1-Laplace equations

Dingding Li, Chao Zhang

This paper studies the regularity of weak solutions to a class of parabolic perturbed fractional $1$ -Laplace equations. Our analysis combines finite difference quotients, energy es…

math.AP2025

Sobolev regularity for the perturbed fractional 1-Laplace equations in the subquadratic case

Dingding Li, Chao Zhang

This work investigates the Sobolev regularity of solutions to perturbed fractional 1-Laplace equations. Under the assumption that weak solutions are locally bounded, we establish t…

math.AP2025

Sobolev regularity for the nonlocal $(1, p)$ -Laplace equations in the superquadratic case

Dingding Li, Chao Zhang

We investigate the interior Sobolev regularity of weak solutions to the nonlocal $(1, p)$ -Laplace equations in the superquadratic case $p \geq 2$ . As a product, the explicit HÃ¶lder…

math.AP2025

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 $(p, q)$ -Laplace equations, which model the superposition of two s…

HÃ¶lder regularity for the parabolic perturbed fractional 1-Laplace equations

Sobolev regularity for the perturbed fractional 1-Laplace equations in the subquadratic case

Sobolev regularity for the nonlocal (1,p)-Laplace equations in the superquadratic case

Higher Sobolev regularity for mixed local and nonlocal equations with nonstandard growth

Sobolev regularity for the nonlocal $(1, p)$ -Laplace equations in the superquadratic case