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math.AP2012★ 3 cited
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…
math.AP2012
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…
math.AP2012
Stability of ZND detonations for Majda's model
Soyeun Jung, Jinghua Yao
We evaluate by direct calculation the Lopatinski determinant for ZND detonations in Majda's model for reacting flow, and show that on the nonstable (nonnegative real part) complex…