Spectrum of the Lamé operator and application. I: Deformation along \(\operatorname{Re} \tau = \frac{ 1}{ 2} \)

DOI10.1016/j.aim.2021.107699zbMath1468.34116OpenAlexW3137296617MaRDI QIDQ2020416

Zhijie Chen, Chang-Shou Lin, Erjuan Fu

Publication date: 23 April 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2021.107699

zbMATH Keywords

mean field equationLamé operatoreven but not axisymmetric solutionspectrum deformation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05) Lamé, Mathieu, and spheroidal wave functions (33E10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Deformation of the spectrum for Darboux-Treibich-Verdier potential along \(\mathrm{Re}\,\tau =\frac{1}{2}\) ⋮ On eigenelements of a two-dimensional Steklov-type boundary value problem for the Lamé operator ⋮ Spectrum of the Lamé operator and application. II: When an endpoint is a cusp

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