Beijing Institute of Technology

output

20002026

most citedLow-energy effective Hamiltonian involving spin-orbit coupling in Silicene and Two-Dimensional Germanium and Tin

1.4k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2009 · math.APShow all

3 papers · 2 filters

math.AP2009★ 1 cited

The Weyl-type asymptotic formula for biharmonic Steklov eigenvalues with Dirichlet boundary condition on Riemannian manifolds

Genqian Liu

Let $Ω$ be a bounded domain with $C^{2}$ -smooth boundary in an $n$ -dimensional oriented Riemannian manifold. It is well-known that for the bi-harmonic equation $Δ^{2} u = 0$ in $Ω$ with…

math.AP2009★ 26 cited

Scattering theory below energy for the cubic fourth-order Schrödinger equation

Changxing Miao, Haigen Wu, Junyong Zhang

We investigate the global existence and scattering for the cubic fourth-order Schrödinger equation $i u_{t} + Δ^{2} u + ∣ u ∣^{2} u = 0$ in the low regularity space $H^{s} (R^{n})$ with $s < 2$ . We provi…

math.AP2009

Some inequalities and asymptotic formulas for eigenvalues on Riemannian manifolds

Genqian Liu

In this paper, we establish sharp inequalities for four kinds of classical eigenvalues on a bounded domain of a Riemannian manifold. We also establish asymptotic formulas for the e…