Karpukhin, Mikhail; Nadirashvili, Nikolai; Penskoi, Alexei V.; Polterovich, Iosif An isoperimetric inequality for Laplace eigenvalues on the sphere. (English) Zbl 1471.53056 J. Differ. Geom. 118, No. 2, 313-333 (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53C42 58E11 58J50 PDFBibTeX XMLCite \textit{M. Karpukhin} et al., J. Differ. Geom. 118, No. 2, 313--333 (2021; Zbl 1471.53056) Full Text: DOI arXiv
Nadirashvili, Nikolai; Sire, Yannick Isoperimetric inequality for the third eigenvalue of the Laplace-Beltrami operator on \(\mathbb{S}^2\). (English) Zbl 1385.53027 J. Differ. Geom. 107, No. 3, 561-571 (2017). MSC: 53C21 49Q10 58J50 PDFBibTeX XMLCite \textit{N. Nadirashvili} and \textit{Y. Sire}, J. Differ. Geom. 107, No. 3, 561--571 (2017; Zbl 1385.53027) Full Text: DOI arXiv Euclid
Grigor’yan, Alexander; Nadirashvili, Nikolai; Sire, Yannick A lower bound for the number of negative eigenvalues of Schrödinger operators. (English) Zbl 1356.53044 J. Differ. Geom. 102, No. 3, 395-408 (2016). Reviewer: Lizhen Ji (Ann Arbor) MSC: 53C21 58J50 35P15 PDFBibTeX XMLCite \textit{A. Grigor'yan} et al., J. Differ. Geom. 102, No. 3, 395--408 (2016; Zbl 1356.53044) Full Text: DOI arXiv Euclid
Girouard, Alexandre; Nadirashvili, Nikolai; Polterovich, Iosif Maximization of the second positive Neumann eigenvalue for planar domains. (English) Zbl 1186.35120 J. Differ. Geom. 83, No. 3, 637-662 (2009). MSC: 35P15 35A16 35A20 30E25 PDFBibTeX XMLCite \textit{A. Girouard} et al., J. Differ. Geom. 83, No. 3, 637--662 (2009; Zbl 1186.35120) Full Text: DOI arXiv Euclid
Nadirashvili, Nikolai Isoperimetric inequality for the second eigenvalue of a sphere. (English) Zbl 1071.58024 J. Differ. Geom. 61, No. 2, 335-340 (2002). Reviewer: Salah Mehdi (Nanterre) MSC: 58J50 53C20 PDFBibTeX XMLCite \textit{N. Nadirashvili}, J. Differ. Geom. 61, No. 2, 335--340 (2002; Zbl 1071.58024) Full Text: DOI
Jakobson, Dmitry; Nadirashvili, Nikolai Eigenfunctions with few critical points. (English) Zbl 1038.58036 J. Differ. Geom. 53, No. 1, 177-182 (1999). Reviewer: Olaf Post (Aachen) MSC: 58J50 34B99 34L20 PDFBibTeX XMLCite \textit{D. Jakobson} and \textit{N. Nadirashvili}, J. Differ. Geom. 53, No. 1, 177--182 (1999; Zbl 1038.58036) Full Text: DOI
Hardt, R.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. Critical sets of solutions to elliptic equations. (English) Zbl 1144.35370 J. Differ. Geom. 51, No. 2, 359-373 (1999). MSC: 35J15 35B65 PDFBibTeX XMLCite \textit{R. Hardt} et al., J. Differ. Geom. 51, No. 2, 359--373 (1999; Zbl 1144.35370) Full Text: DOI Euclid