1 citations · 2 across the 17 of their papers we have counts for
21 papers
Potential estimates and improved Sobolev regularity for nonlocal fully nonlinear elliptic equations
Yao Zhang, Lingwei Ma, Zhenqiu Zhang
This paper investigates pointwise and oscillatory potential estimates for viscosity solutions and their gradients to a class of nonlocal fully nonlinear elliptic equations. The key…
Riesz potential estimates for non-linear elliptic obstacle problems
Qi Xiong, Zhenqiu Zhang, Lingwei Ma
This paper investigates a class of nonlinear elliptic obstacle problems involving measure data, where the nonlinearity depends on the variable of the possibly unbounded solution it…
Higher Hölder regularity for degenerate fully nonlinear elliptic equations with Hamiltonian terms
Wentao Huo, Xiaofeng Jin, lingwei Ma +1
This paper focuses on a class of fully nonlinear elliptic equations with variable double phase type degeneracy law and Hamiltonian terms. We obtain improved gradient Hölder regular…
Borderline gradient continuity for degenerate/singular fully nonlinear elliptic equations with Hamiltonian terms
Wentao Huo, Lingwei Ma, Zhenqiu Zhang
This paper focuses on a class of fully nonlinear elliptic equations with general double phase degeneracy/singularity law and Hamiltonian terms of the form $$Φ(|Du|,x)F(D^2 u, x)+H(…
Sharp regularity for a class of degenerate/singular fully nonlinear elliptic equations with Hamiltonian terms
Wentao Huo, Xiaofeng Jin, Lingwei Ma +1
We investigate the regularity of the viscosity solutions to a class of degenerate/singular fully nonlinear elliptic equations with Hamiltonian terms. To overcome the difficulty cau…
Periodic homogenization of convolution type operators with irregular Lévy type tails
Xiaofeng Jin, Wentao Huo, Lingwei Ma +1
We establish the homogenization results for a class of nonlocal operators of convolution type with integrable jumping kernel multiplied by rapidly oscillating periodic or local…
Periodic and stochastic homogenization of general nonlocal operators with oscillating coefficients
Xiaofeng Jin, Wentao Huo, Lingwei Ma +1
This paper investigates homogenization problems for the nonlocal operators with rapidly oscillating coefficients in the cases of periodic and random statistically homogeneous micro…
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…
Global Calderón-Zygmund estimates for asymptotically convex fully nonlinear Grad-Mercier type equations
Yao Zhang, Xiaofeng Jin, Lingwei Ma +1
In this paper, we consider the following Dirichlet problem for the fully nonlinear elliptic equation of Grad-Mercier type under asymptotic convexity conditions \begin{equation*} \l…
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 Mar…
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…
Liouville type theorems for dual nonlocal evolution equations involving Marchaud derivatives
Yahong Guo, Lingwei Ma, Zhenqiu Zhang
In this paper, we establish a Liouville type theorem for the homogeneous dual fractional parabolic equation \begin{equation} \partial^α_t u(x,t)+(-Δ)^s u(x,t) = 0\ \ \mbox{in}\ \ \…
A Liouville Theorem and Radial Symmetry for dual fractional parabolic equations
Yahong Guo, Lingwei Ma, Zhenqiu Zhang
In this paper, we first study the dual fractional parabolic equation \begin{equation*} \partial^α_t u(x,t)+(-Δ)^s u(x,t) = f(u(x,t))\ \ \mbox{in}\ \ B_1(0)\times\R , \end{equation*…
Radial symmetry and Liouville theorem for master equations
Lingwei Ma, Yahong Guo, Zhenqiu Zhang
This paper has two primary objectives. The first one is to demonstrate that the solutions of master equation \begin{equation*} (\partial_t-Δ)^s u(x,t) =f(u(x, t)), \,\,(x, t)\in B_…
Nonlinear Potential Estimates for Generalized Stokes System
Lingwei Ma, Zhenqiu Zhang, Feng Zhou
In this paper, we consider the generalized stationary Stokes system with -growth and Dini- regular coefficients. The main purpose is to establish pointwise e…
Gradient potential estimates in elliptic obstacle problems with Orlicz growth
Xiong Qi, Zhenqiu Zhang, Lingwei Ma
In this paper,we consider the solutions of the non-homogeneous elliptic obstacle problems with Orlicz growth involving measure data. We first establish the pointwise estimates of t…
Symmetry and Monotonicity of Positive Solutions to Schrödinger Systems with Fractional -Laplacian
Lingwei Ma, Zhenqiu Zhang
In this paper, we first establish a narrow region principle and a decay at infinity theorem to extend the direct method of moving planes for general fractional -Laplacian system…
Symmetry of Positive Solutions for the Fractional Schrdinger Equations with Choquard-type Nonlinearities
Xiaoya Huang, Zhenqiu Zhang
This paper deals with the following fractional Schrdinger equations with Choquard-type nonlinearities \begin{equation*} \left\{\begin{array}{r@{\ \ }c@{\ \ }ll}…
Wolff Type Potential Estimates for Stationary Stokes Systems with Dini-BMO Coefficients
Lingwei Ma, Zhenqiu Zhang
The pointwise gradient estimate for weak solution pairs to the stationary Stokes system with Dini-BMO coefficients is established via the Havin-Maz'ya-Wolff type nonlinear potentia…