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20122025
most citedMaximal metrics for the first Steklov eigenvalue on surfaces

4 citations · 5 across the 9 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.SP2020

Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems

Alexandre Girouard, Mikhail Karpukhin, Jean Lagacé

We associate a sequence of variational eigenvalues to any Radon measure on a compact Riemannian manifold. For particular choices of measures, we recover the Laplace, Steklov and ot…

math.DG2020

Conformally maximal metrics for Laplace eigenvalues on surfaces

Mikhail Karpukhin, Nikolai Nadirashvili, Alexei V. Penskoi +1

The paper is concerned with the maximization of Laplace eigenvalues on surfaces of given volume with a Riemannian metric in a fixed conformal class. A significant progress on this…