P. Freitas

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math.SP2025

On the (growing) gap between Dirichlet and Neumann eigenvalues

Pedro Freitas, Miguel Gama

We provide an answer to a question raised by Levine and Weinberger in their $1986$ paper concerning the difference between Dirichlet and Neumann eigenvalues of the Laplacian on bou…

math.SP2025

PÃ³lya's conjecture on $S^{1} \times R$

Pedro Freitas, Rui Wang

We study the area ranges where the two possible isoperimetric domains on the infinite cylinder $S^{1} \times R$ , namely, geodesic disks and cylindrical strips of the form…

On the (growing) gap between Dirichlet and Neumann eigenvalues

PÃ³lya's conjecture on S1×R

PÃ³lya's conjecture on $S^{1} \times R$