138 citations · 1.3k across the 90 of their papers we have counts for
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math-ph2005★ 81 cited
A Hardy inequality in twisted waveguides
T. Ekholm, H. Kovarik, D. Krejcirik
We show that twisting of an infinite straight three-dimensional tube with non-circular cross-section gives rise to a Hardy-type inequality for the associated Dirichlet Laplacian. A…
math.SP2005
Unbounded planar domains whose second nodal line does not touch the boundary
P. Freitas, D. Krejcirik
We show the existence of simply-connected unbounded planar domains for which the second nodal line of the Dirichlet Laplacian does not touch the boundary.
math.SP2005
Hardy inequalities in strips on ruled surfaces
David Krejcirik
We consider the Dirichlet Laplacian in infinite two-dimensional strips defined as uniform tubular neighbourhoods of curves on ruled surfaces. We show that the negative Gauss curvat…