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math.OC2024
A note on the failure of the Faber-Krahn inequality for the vector Laplacian
David Krejcirik, Pier Domenico Lamberti, Michele Zaccaron
We consider a natural eigenvalue problem for the vector Laplacian related to stationary Maxwell's equations in a cavity and we prove that an analog of the celebrated Faber-Krahn in…
math.AP2024
On the Phragmén-Lindelöf and the superposition principles for the -Laplacian
Pier Domenico Lamberti, Vitaly Moroz
We study sub and supersolutions for the -Laplace type elliptic equation of the form where is a radially symmetric domain in ${\ma…