4 papers
Some New Inequalities of Dirichlet Eigenvalues for Laplace Operator with any Order
Na Huang, Pengcheng Niu
In this paper, we establish several inequalities of Dirichlet eigenvalues for Laplace operator with any order on \emph{n}-dimensional Euclidean space. These inequalities are mo…
Higher gradients estimates in Morrey spaces for weak solutions to linear ultraparabolic equations
Yan Dong, Pengcheng Niu
The aim of this paper is to consider the linear ultraparabolic equation with bounded and VMO coefficients . Assume that the operator obtained by freezing the coef…
Regularity for weak solutions to nondiagonal quasilinear degenerate elliptic systems
Yan Dong, Pengcheng Niu
The aim of this paper is to establish regularity for weak solutions to the nondiagonal quasilinear degenerate elliptic systems related to Hörmander's vector fields, where the coeff…
Interior HW^{1,p} estimates for divergence degenerate elliptic systems in Carnot groups
Maochun Zhu, Marco Bramanti, Pengcheng Niu
Let X_1,...,X_q be the basis of the space of horizontal vector fields on a homogeneous Carnot group in R^n (q<n). We consider a degenerate elliptic system of N equations, in diverg…