79 citations · 481 across the 62 of their papers we have counts for
Showing math.OCShow all
2 papers · 1 filter
math.OC2023
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…
math.OC2022
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…