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20082026
most citedVisualization of higher-order topological insulating phases in two-dimensional dielectric photonic crystals

607 citations

Showing 2015 · math.APShow all

6 papers · 2 filters

math.AP2015★ 2 cited

Stability of the train of solitary waves for the two-component Camassa-Holm shallow water system

Xingxing Liu

Considered herein is the integrable two-component Camassa-Holm shallow water system derived in the context of shallow water theory, which admits blow-up solutions and the solitary…

math.AP2015★ 1 cited

Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions

Kai Yan, Zhijun Qiao, Yufeng Zhang

This paper is devoted to an integrable two-component Camassa-Holm system with cubic nonlinearity, which includes the cubic Camassa-Holm equation (also called the Fokas-Olver-Rosena…

math.AP2015

On finding solutions of a Kirchhoff type problem

Yisheng Huang, Zeng Liu, Yuanze Wu

Consider the following Kirchhoff type problem $$ \left\{\aligned -\bigg(a+b\int_{\mathbb{B}_R}|\nabla u|^2dx\bigg)Δu&= λu^{q-1} + μu^{p-1}, &\quad \text{in}\mathbb{B}_R, \\ u&>0,&\…

math.AP2015★ 7 cited

On a Kirchhoff type problems with potential well and indefinite potential

Yuanze Wu, Yisheng Huang, Zeng Liu

In this paper, we study the following Kirchhoff type problem:% $$ \left\{\aligned&-\bigg(α\int_{\bbr^3}|\nabla u|^2dx+1\bigg)Δu+(λa(x)+a_0)u=|u|^{p-2}u&\text{ in }\bbr^3,\\% &u\in\…

math.AP2015

On a biharmonic equations with steep potential well and indefinite potential

Yisheng Huang, Zeng Liu, Yuanze Wu

In this paper, we study the following biharmonic equations:% $$ \left\{\aligned&Δ^2u-a_0Δu+(λb(x)+b_0)u=f(u)&\text{ in }\bbr^N,\\% &u\in\h,\endaligned\right.\eqno{(\mathcal{P}_λ)}%…

math.AP2015

On the Brezis-Nirenberg problem with nonhomogeneous Dirichlet boundary conditions

Y. Wu, T. -F. Wu, Z. Liu

In this paper, we study the decomposition of Nehari manifold for the Brézis-Nirenberg problem with nonhomogeneous Dirichlet boundary conditions. By using this result, the Lusternik…