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ЖУРНАЛЫ // Moscow Mathematical Journal

Mosc. Math. J., 2015, том 15, номер 4, страницы 767–775 (Mi mmj586)

Maximization of higher order eigenvalues and applications
Nikolai Nadirashvili, Yannick Sire

References

1. A. Grigor'yan, N. Nadirashvili, Y. Sire, “A lower bound for the number of negative eigenvalues of Schrödinger operators”, Journal of Diff. Geom. (to appear)
2. N. Korevaar, “Upper bounds for eigenvalues of conformal metrics”, J. Differential Geom., 37:1 (1993), 73–93  mathscinet  zmath  isi
3. E. H. Lieb, M. Loss, Analysis, Graduate Studies in Mathematics, 14, 2nd ed., American Mathematical Society, Providence, RI, 2001  mathscinet  zmath
4. N. Nadirashvili, “Isoperimetric inequality for the second eigenvalue of a sphere”, J. Differential Geom., 61:2 (2002), 335–340  mathscinet  zmath  isi
5. N. Nadirashvili, Y. Sire, “Conformal spectrum and harmonic maps”, Moscow Math. J., 15:1 (2015), 123–140  mathnet  isi
6. R. Petrides, “Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces”, Geom. Funct. Anal., 24:4 (2014), 1336–1376  crossref  mathscinet  zmath  isi
7. P. C. Yang, S. T. Yau, “Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds”, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 7:1 (1980), 55–63  mathscinet


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