Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Pengcheng Niu"'
Autor:
Duan Wu, Pengcheng Niu
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2022, Iss 29, Pp 1-10 (2022)
In this note, we prove the boundary and global $C^{1,\gamma}$ regularity for viscosity solutions of fully nonlinear uniformly elliptic equations on a convex polyhedron by perturbation and iteration techniques.
Externí odkaz:
https://doaj.org/article/cbeec2f1844c48f39b00623a0fc19ee7
Autor:
Duan Wu, Pengcheng Niu
Publikováno v:
Boundary Value Problems, Vol 2021, Iss 1, Pp 1-9 (2021)
Abstract The aim of this paper is to study the oscillation of solutions of the nonlinear degenerate elliptic equation in the Heisenberg group H n $H^{n}$ . We first derive a critical inequality in H n $H^{n}$ . Based on it, we establish a Picone-type
Externí odkaz:
https://doaj.org/article/2a0c4b87a866432d8fda4b1a447ab68f
Autor:
Xiaoxue Ji, Pengcheng Niu
Publikováno v:
Boundary Value Problems, Vol 2020, Iss 1, Pp 1-26 (2020)
Abstract The aim of this article is to consider the semi-linear fractional system with Sobolev exponents q = n + α n − β $q = \frac{{n + \alpha}}{{n - \beta}}$ and p = n + β n − α $p = \frac{{n + \beta}}{{n - \alpha}}$ ( α ≠ β $\alpha \ne
Externí odkaz:
https://doaj.org/article/3c8cb5f4b96943519effb91a3d4ad434
Autor:
Jie Xu, Pengcheng Niu
Publikováno v:
Journal of Electrical and Computer Engineering, Vol 2022 (2022)
In view of the high-quality requirements of the power supply quality of the user-side sensitive equipment, the system for voltage sag in the grid operation is stable and efficient. This paper proposes a new virtual voltage comparison compensation dyn
Externí odkaz:
https://doaj.org/article/c3d60d1dc62040bb849b16e39c206799
Autor:
Duan Wu, Pengcheng Niu
Publikováno v:
Advances in Mathematical Physics, Vol 2022 (2022)
In this paper, we derive a Riccati-type inequality in the Heisenberg group Hn. Based on it, some oscillation criteria are established for the weighted p-sub-Laplacian equations in Hn. Our results generalize the oscillation theorems for p-sub-Laplacia
Externí odkaz:
https://doaj.org/article/af775684e07b43c2a75702731bcc284a
Autor:
Junli Zhang, Pengcheng Niu
Publikováno v:
Mathematics, Vol 11, Iss 6, p 1532 (2023)
A conjecture of Cai–Zhang–Shen for figurate primes says that every integer k>1 is the sum of two figurate primes. In this paper, we give an equivalent proposition to the conjecture. By considering extreme value problems with constraints about the
Externí odkaz:
https://doaj.org/article/f8aa398b41484b0caadf3e1a64dfbbfa
Autor:
Junli Zhang, Pengcheng Niu
Publikováno v:
Journal of Function Spaces, Vol 2020 (2020)
In this paper, we apply De Giorgi-Moser iteration to establish the Hölder regularity of quasiminimizers to generalized Orlicz functional on the Heisenberg group by using the Riesz potential, maximal function, Calderón-Zygmund decomposition, and cov
Externí odkaz:
https://doaj.org/article/378d1d2c40ca49bfadeb59d5e3c9696a
Autor:
Yuexia Hou, Pengcheng Niu
Publikováno v:
Journal of Function Spaces, Vol 2017 (2017)
Suppose that X0,X1,…,Xm are left invariant real vector fields on the homogeneous group G with X0 being homogeneous of degree two and X1,…,Xm homogeneous of degree one. In the paper we study the hypoelliptic operator with drift of the kind L=∑i,
Externí odkaz:
https://doaj.org/article/a5703fca4d8646559940dde1e9618351
Autor:
Pengcheng Niu, Kelei Zhang
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
Let {X1,X2,…,Xm} be the basis of space of horizontal vector fields in a Carnot group G=(Rn;∘) (m
Externí odkaz:
https://doaj.org/article/20d035b8574447e899b09239327ea8ed
Publikováno v:
Journal of Inequalities and Applications, Vol 2007 (2007)
Based on properties of vector fields, we prove Hardy inequalities with remainder terms in the Heisenberg group and a compact embedding in weighted Sobolev spaces. The best constants in Hardy inequalities are determined. Then we discuss the existence
Externí odkaz:
https://doaj.org/article/755c16e02cd44f218d15ed677db1cfc4