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math.AP2021
Eigenvalue Estimates for -Laplace Problems on Domains Expressed in Fermi Coordinates
Barbara Brandolini, Francesco Chiacchio, Jeffrey J. Langford
We prove explicit and sharp eigenvalue estimates for Neumann -Laplace eigenvalues in domains that admit a representation in Fermi coordinates. More precisely, if denotes a n…
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…