10 citations · 45 across the 23 of their papers we have counts for
Showing 2010Show all
2 papers · 1 filter
math.SP2010★ 5 cited
Isoperimetric inequalities and variations on Schwarz's lemma
Tom Carroll, Jesse Ratzkin
In this note we prove a version of the classical Schwarz lemma for the first eigenvalues of the Laplacian with Dirichlet boundary data. A key ingredient in our proof is an isoperim…
math.AP2010
Interpolating between torsional rigidity and principal frequency
Tom Carroll, Jesse Ratzkin
A one-parameter family of variational problems is introduced that interpolates between torsional rigidity and the first Dirichlet eigenvalue of the Laplacian. The associated partia…