1. CMB Online first
 Zhang, Tao; Zhou, Chunqin

Classification of solutions for harmonic functions with Neumann boundary value
In this paper, we classify all solutions of
\[
\left\{
\begin{array}{rcll}
\Delta u &=& 0 \quad &\text{ in }\mathbb{R}^{2}_{+},
\\
\dfrac{\partial u}{\partial t}&=&cx^{\beta}e^{u} \quad
&\text{ on }\partial \mathbb{R}^{2}_{+} \backslash \{0\},
\\
\end{array}
\right.
\]
with the finite conditions
\[
\int_{\partial \mathbb{R}^{2}_{+}}x^{\beta}e^{u}ds \lt C,
\qquad
\sup\limits_{\overline{\mathbb{R}^{2}_{+}}}{u(x)}\lt C.
\]
Here, $c$ is a positive number and $\beta \gt 1$.
Keywords:Neumann problem, singular coefficient, classification of solutions Categories:35A05, 35J65 

2. CMB 2011 (vol 56 pp. 378)
 Ma, Li; Wang, Jing

Sharp Threshold of the GrossPitaevskii Equation with Trapped Dipolar Quantum Gases
In this paper, we consider the GrossPitaevskii equation for the
trapped dipolar quantum gases. We obtain the sharp criterion for the
global existence and finite time blow up in the unstable regime by
constructing a variational problem and the socalled invariant
manifold of the evolution flow.
Keywords:GrossPitaevskii equation, sharp threshold, global existence, blow up Categories:35Q55, 35A05, 81Q99 
