不可定向曲面上第一特征值最大化度量的存在性

IF 1 3区数学 Q1 MATHEMATICS

Journal of Spectral Theory Pub Date : 2019-09-08 DOI:10.4171/jst/372

Henrik Matthiesen, Anna Siffert

引用次数: 6

摘要

在假设两个谱间隙条件的情况下，我们证明了在闭合的、不可定向的曲面上，最大化由面积归一化的第一特征值的度量的存在性。这些谱隙条件由作者在｛MS3｝中证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence of metrics maximizing the first eigenvalue on non-orientable surfaces

We prove the existence of metrics maximizing the first eigenvalue normalized by area on closed, non-orientable surfaces assuming two spectral gap conditions. These spectral gap conditions are proved by the authors in \cite{MS3}.

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来源期刊

Journal of Spectral Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： The Journal of Spectral Theory is devoted to the publication of research articles that focus on spectral theory and its many areas of application. Articles of all lengths including surveys of parts of the subject are very welcome. The following list includes several aspects of spectral theory and also fields which feature substantial applications of (or to) spectral theory. Schrödinger operators, scattering theory and resonances; eigenvalues: perturbation theory, asymptotics and inequalities; quantum graphs, graph Laplacians; pseudo-differential operators and semi-classical analysis; random matrix theory; the Anderson model and other random media; non-self-adjoint matrices and operators, including Toeplitz operators; spectral geometry, including manifolds and automorphic forms; linear and nonlinear differential operators, especially those arising in geometry and physics; orthogonal polynomials; inverse problems.