3 papers
math.AP2026
Higher Weak Differentiability to Mixed Local and Nonlocal Degenerate Elliptic Equations in the Heisenberg Group
Junli Zhang, Pengcheng Niu
In this paper, we investigate the higher weak differentiability of solutions to a class of mixed local and nonlocal degenerate elliptic equations in the Heisenberg group $\mathbb{H…
math.AP2025
Regularity for Mixed Local and Nonlocal Degenerate Elliptic Equations in the Heisenberg Group
Junli Zhang, Pengcheng Niu
In this paper, we investigate the regularity for mixed local and nonlocal degenerate elliptic equations in the Heisenberg group. Inspired by the De Giorgi-Nash-Moser theory, the lo…
math.GM2024
A proof of Riemann Hypothesis
Pengcheng Niu, Junli Zhang
Let be a function relating to the Riemann zeta function with . In this paper, we construct a function containing and , and pro…