34 citations · 85 across the 15 of their papers we have counts for
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math.SP2013★ 10 cited
On multiplicity bounds for Schrodinger eigenvalues on Riemannian surfaces
Gerasim Kokarev
A classical result by Cheng in 1976, improved later by Besson and Nadirashvili, says that the multiplicities of the eigenvalues of the Schrodinger operator with a smooth potential…
math.SP2011
Variational aspects of Laplace eigenvalues on Riemannian surfaces
Gerasim Kokarev
We study the existence and properties of metrics maximising the first Laplace eigenvalue among conformal metrics of unit volume on Riemannian surfaces. We describe a general approa…
math.SP2009★ 1 cited
On the concentration-compactness phenomenon for the first Schrodinger eigenvalue
Gerasim Kokarev
We study a variational problem for the first Schrodinger eigenvalue on closed Riemannian surfaces. More precisely, we explore concentration-compactness properties of sequences form…