论文标题
恒定平均曲率方程的共振和特征值
Resonances and Eigenvalues for the Constant Mean Curvature Equation
论文作者
论文摘要
在本文中，我们研究了非线性常数平均曲率EQN的共鸣和特征值。围绕布雷兹 - 库龙发现的气泡线性化。这个非线性eqn。也称为H-System EQN。对于一个程度的气泡（该程度与某个绕组数有关），我们只会发现共鸣。对于更高的程度，我们证明确实发生了特征值。我们的目标是最终获得波式的分散估计。与H-Systems EQN相关。以线性和非线性形式，该研究是由Chanillo-Yung启动的。
In this paper we study resonances and eigenvalues for the nonlinear constant mean curvature eqn. linearized around the bubbles found by Brezis-Coron. This nonlinear eqn. is also called a H-system eqn. For degree one bubbles(the degree relates to a certain winding number) we only find resonances. For higher degree we prove eigenvalues do occur. Our goal is to eventually obtain dispersive estimates for the wave eqn. associated to the H-systems eqn. in its linear and non-linear form, a study of which was initiated by Chanillo-Yung.
