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20172021
most citedComparison Results, Exit Time Moments, And Eigenvalues On Riemannian Manifolds With A Lower Ricci Curvature Bound

2 citations · 2 across the 3 of their papers we have counts for

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math.AP2021

Extremizing Temperature Functions of Rods with Robin Boundary Conditions

Jeffrey J. Langford, Patrick McDonald

We compare the solutions of two one-dimensional Poisson problems on an interval with Robin boundary conditions, one with given data, and one where the data has been symmetrized. Wh…

math.AP2020

PDE Comparison Principles for Robin Problems

Jeffrey J. Langford

We compare the solutions of two Poisson problems in a spherical shell with Robin boundary conditions, one with given data, and one where the data has been cap symmetrized. When the…

math.AP2020

A Sharp Isoperimetric Inequality for the Second Eigenvalue of the Robin Plate

L. Mercredi Chasman, Jeffrey J. Langford

Among all bounded domains with equal volume, we show that the second eigenvalue of the Robin plate is uniquely maximized by an open ball, so long as the Robin paramete…