From the 1 of 6 linked papers with an AI index.
6 papers
Riesz potential estimates for non-linear elliptic obstacle problems
Qi Xiong, Zhenqiu Zhang, Lingwei Ma
The paper studies nonlinear elliptic obstacle problems with measure data and derives pointwise gradient bounds for solutions using Riesz potential estimates.
Universal Potential Estimates for Mixed Local and Nonlocal Nonlinear Measure Data Problems
Lingwei Ma, Qi Xiong, Zhenqiu Zhang
This paper presents the nonlinear potential theory for mixed local and nonlocal -Laplace type equations with coefficients and measure data, involving both superquadratic and sub…
Pointwise and Oscillation Estimates via Riesz Potentials for Mixed Local and Nonlocal Parabolic Equations
Lingwei Ma, Qi Xiong, Zhenqiu Zhang
We establish a class of pointwise estimates for weak solutions to mixed local and nonlocal parabolic equations involving measure data and merely measurable coefficients via caloric…
Gradient potential estimates for elliptic double obstacle problems with Orlicz growth
Qi Xiong, Zhenqiu Zhang, Lingwei Ma
In this paper,we consider the solutions of the elliptic double obstacle problems with Orlicz growth involving measure data. Some pointwise estimates for the approximable solutions…
Hölder Continuity for Fully Fractional Parabolic Equations with Space-time Nonlocal Operators
Lingwei Ma, Qi Xiong, Zhenqiu Zhang
We study the local Hölder regularity of weak solutions to the fully fractional parabolic equations involving spatial fractional diffusion and fractional time derivatives of the Ma…
Riesz potential estimates for double obstacle problems with Orlicz growth
Qi Xiong, Zhenqiu Zhang, Lingwei Ma
In this paper, we consider the solutions to the non-homogeneous double obstacle problems with Orlicz growth involving measure data. After establishing the existence of the solution…