most citedHow large can the first eigenvalue be on a surface of genus two?

11 citations · 11 across the 2 of their papers we have counts for

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2 papers

math.SP2005★ 11 cited

How large can the first eigenvalue be on a surface of genus two?

D. Jakobson, M. Levitin, N. Nadirashvili +2

Sharp upper bounds for the first eigenvalue of the Laplacian on a surface of a fixed area are known only in genera zero and one. We investigate the genus two case and conjecture th…

math.AP2005

Homogeneous Solutions to Fully Nonlinear Elliptic Equations

Nikolai Nadirashvili, Yu Yuan

We classify homogeneous degree solutions to fully nonlinear elliptic equations.