Duchao Liu

activity

20122019

p (x) -

Laplacian Equations of Schrödinger type

3 citations · 5 across the 3 of their papers we have counts for

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3 papers · 1 filter

math.AP2018

$L^{Φ (A (x, \cdot))}$ estimate for the gradient in $W^{1, A (x, \cdot)}$

Duchao Liu, Beibei Wang, Sibei Yang

Under appropriate assumptions on the $N (Ω)$ -fucntion, the $L^{Φ (A (x, \cdot))}$ estimate for the gradient of the minimizers of a class of energy functional in Musielak-Orlicz-Sobolev…

math.AP2017★ 1 cited

Hölder continuity for nonlinear elliptic problem in Musielak-Orlicz-Sobolev space

Beibei Wang, Duchao Liu, Peihao Zhao

Under appropriate assumptions on the $N (Ω)$ -fucntion, the De Giorgi process is presented in the framework of Musielak-Orlicz-Sobolev space to prove the Hölder continuity of fully n…

math.AP2012★ 3 cited

High Energy Solutions to $p (x) -$ Laplacian Equations of Schrödinger type

Duchao Liu, Xiaoyan Wang, Jinghua Yao

In this paper, we investigate nonlinear Schr $o ¨$ dinger type equations in $R^{N}$ under the framework of variable exponent spaces. We propose new assumptions on the nonlinear te…

LΦ(A(x,⋅)) estimate for the gradient in W1,A(x,⋅)

Hölder continuity for nonlinear elliptic problem in Musielak-Orlicz-Sobolev space

High Energy Solutions to p(x)−Laplacian Equations of Schrödinger type

$L^{Φ (A (x, \cdot))}$ estimate for the gradient in $W^{1, A (x, \cdot)}$

High Energy Solutions to $p (x) -$ Laplacian Equations of Schrödinger type