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math.AP2020
A spectral shape optimization problem with a nonlocal competing term
Dario Mazzoleni, Berardo Ruffini
We study the minimization of a spectral functional made as the sum of the first eigenvalue of the Dirichlet Laplacian and the relative strength of a Riesz-type interaction function…
math.AP2020★ 8 cited
Conducting flat drops in a confining potential
Cyrill B. Muratov, Matteo Novaga, Berardo Ruffini
We study a geometric variational problem arising from modeling two-dimensional charged drops of a perfectly conducting liquid in the presence of an external potential. We character…