3 citations · 9 across the 18 of their papers we have counts for
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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…
Existence of optimizers of the Stein-Weiss inequalities on Carnot groups
Tingxi Hu, Pengcheng Niu
This paper proves existence of optimizers of the Stein-Weiss inequalities on Carnot groups under some conditions. The adjustment of Lions' concentration compactness principles to C…
Schauder estimates for solutions of sub-Laplace equations with Dini terms
Tingxi Hu, Pengcheng Niu
In this paper we establish Schauder estimates for the sublalpace equation \[Σ_{j = 1}^mX_j^2u = f,\] where is a system of smooth vector field which gen…