2 papers
math.AP2024
Some Hardy and Rellich type inequalities for affine connections
Pengyan Wang, Huiting Chang
In this article we study various forms of the Hardy inequality for affine connections on a complete noncompact Riemannian manifold, including the two-weight Hardy inequality, the i…
math.AP2016
Solutions of Fully Nonlinear Nonlocal Systems
Pengyan Wang, Mei Yu
In this paper we consider the system involving fully nonlinear nonlocal operators: $$ \left\{ \begin{array}{ll} F_α(u(x)) = C_{n,α} PV \int_{{R}^n} \frac{G(u(x)-u(y))}{|x-y|^{n+α}}…