138 citations · 1.3k across the 90 of their papers we have counts for
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Optimisation and monotonicity of the second Robin eigenvalue on a planar exterior domain
David Krejcirik, Vladimir Lotoreichik
We consider the Laplace operator in the exterior of a compact set in the plane, subject to Robin boundary conditions. If the boundary coupling is sufficiently negative, there are a…
Reverse isoperimetric inequality for the lowest Robin eigenvalue of a triangle
David Krejcirik, Vladimir Lotoreichik, Tuyen Vu
We consider the Laplace operator on a triangle, subject to attractive Robin boundary conditions. We prove that the equilateral triangle is a local maximiser of the lowest eigenvalu…
The Cheeger constant of curved tubes
David Krejcirik, Gian Paolo Leonardi, Petr Vlachopulos
We compute the Cheeger constant of spherical shells and tubular neighbourhoods of complete curves in an arbitrary dimensional Euclidean space.
The Cheeger constant of curved strips
David Krejcirik, Aldo Pratelli
We study the Cheeger constant and Cheeger set for domains obtained as strip-like neighbourhoods of curves in the plane. If the reference curve is complete and finite (a "curved ann…