Escobar’s Conjecture on a Sharp Lower Bound for the First Nonzero Steklov Eigenvalue
Author:
Funder
Major Research Plan
Natural Science Foundation of Fujian Province
Publisher
Springer Science and Business Media LLC
Subject
General Medicine
Link
https://link.springer.com/content/pdf/10.1007/s42543-023-00068-2.pdf
Reference40 articles.
1. Andrews, B., Clutterbuck, J.: Proof of the fundamental gap conjecture. J. Am. Math. Soc. 24(3), 899–916 (2011)
2. Chen, X., Lai, M., Wang, F.: The Obata equation with Robin boundary condition. Rev. Mat. Iberoam. 37(2), 643–670 (2021)
3. Colbois, B., Girouard, A., Hassannezhad, A.: The Steklov and Laplacian spectra of Riemannian manifolds with boundary. J. Funct. Anal. 278(6), 108409 (2020)
4. Escobar, J.F.: The geometry of the first non-zero Stekloff eigenvalue. J. Funct. Anal. 150(2), 544–556 (1997)
5. Escobar, J.F.: An isoperimetric inequality and the first Steklov eigenvalue. J. Funct. Anal. 165(1), 101–116 (1999)
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1. Weighted Sobolev Type Inequalities in a Smooth Metric Measure Space;Journal of Nonlinear Mathematical Physics;2024-01-31
2. The upper bound of the harmonic mean of the Steklov eigenvalues in curved spaces;Bulletin of the London Mathematical Society;2023-12-27
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