3 citations · 6 across the 7 of their papers we have counts for
8 papers
On the Generalized Harmonic Measure
Duchao Liu, Yunjie Wang, Qiuli Li
The axiomatization of harmonic measure theory is established, including the generalized maximum principle, Harnack inequality and Harnack principle. As the applications of the esta…
On a compact trace embedding theorem in Musielak-Sobolev spaces
Li Wang, Duchao Liu
By a stronger compact boundary embedding theorem in Musielak-Orlicz-Sobolev space developed in the paper, variational method is employed to deal with the nonlinear elliptic equatio…
Local Morrey estimate in Musielak-Orlicz-Sobolev space
Duchao Liu, Peihao Zhao
Under appropriate assumptions on the -fucntion, Morrey estimate is presented in the Musielak-Orlicz-Sobolev space.The assumptions include a new increasing condition on the $x…
estimate for the gradient in
Duchao Liu, Beibei Wang, Sibei Yang
Under appropriate assumptions on the -fucntion, the estimate for the gradient of the minimizers of a class of energy functional in Musielak-Orlicz-Sobolev…
Hölder continuity for nonlinear elliptic problem in Musielak-Orlicz-Sobolev space
Beibei Wang, Duchao Liu, Peihao Zhao
Under appropriate assumptions on the -fucntion, the De Giorgi process is presented in the framework of Musielak-Orlicz-Sobolev space to prove the Hölder continuity of fully n…
High Energy Solutions to Laplacian Equations of Schrödinger type
Duchao Liu, Xiaoyan Wang, Jinghua Yao
In this paper, we investigate nonlinear Schrdinger type equations in under the framework of variable exponent spaces. We propose new assumptions on the nonlinear te…
Solutions for Neumann boundary value problems involving -Laplace operators
Duchao Liu, Xiaoyan Wang, Jinghua Yao
In this paper we study the nonlinear Neumann boundary value problem of the following equations -\text{div}(|\nabla u|^{p_{1}(x)-2}\nabla u)-\text{div}(|\nabla u|^{p_{2}(x)-2}\nabla…
On -Laplace Equations
Duchao Liu, Xiaoyan Wang, Jinghua Yao
In this paper, we investigate the -Laplace operator, the properties of the corresponding integral functional and weak solutions to the related differential eq…