Resonances and Eigenvalues for the Constant Mean Curvature Equation

被引：0

作者：

Chanillo, Sagun ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Math, Hill Ctr, Busch Campus,110 Frelinghuysen Rd, Piscataway, NJ 08854 USA

来源：

VIETNAM JOURNAL OF MATHEMATICS | 2023年 / 51卷 / 04期

关键词：

H-systems; Resonances; Eigenvalues; Dispersive estimates; Mean curvature equation; H-SYSTEMS; WAVE;

D O I：

10.1007/s10013-023-00633-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study resonances and eigenvalues for the nonlinear constant mean curvature equation linearized around the bubbles found by Brezis-Coron. This nonlinear equation is also called a H-system equation. For degree one bubbles we only find resonances. For higher degree we prove eigenvalues occur. Our goal is to eventually obtain dispersive estimates for the wave equation associated to the linear and non-linear problem, a study of which was initiated by Chanillo-Yung.

引用

页码：963 / 970

页数：8

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