From the 1 of 10 linked papers with an AI index.
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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.
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 regula…
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…