Gauge Invariant Eigenvalue Problems in <IMG ALIGN=BOTTOM HEIGHT=34 WIDTH=25>期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Gauge Invariant Eigenvalue Problems in

Authors:	Kening Lu Xing-Bin Pan

Affiliation:	Department of Mathematics, Brigham Young University, Provo, Utah 84602 ; Center for Mathematical Sciences, Zhejiang University, Hangzhou 310027, P.R. China - Department of Mathematics, National University of Singapore, Singapore

Abstract:	This paper is devoted to the study of the eigenvalue problems for the Ginzburg-Landau operator in the entire plane ${mathbb{R}}^{2}$ and in the half plane ${mathbb{R}}^{2}_{+}$ . The estimates for the eigenvalues are obtained and the existence of the associate eigenfunctions is proved when is a non-zero constant. These results are very useful for estimating the first eigenvalue of the Ginzburg-Landau operator with a gauge-invariant boundary condition in a bounded domain, which is closely related to estimates of the upper critical field in the theory of superconductivity.

Keywords:	Superconductivity Ginzburg-Landau operator eigenvalue

	点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Transactions of the American Mathematical Society》下载全文