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math.SP2000
Closed nodal lines and interior hot spots of the second eigenfunction of the Laplacian on surfaces
P. Freitas
We build a one-parameter family of S^{1}-invariant metrics on the unit disc with fixed total area for which the second eigenvalue of the Laplace operator in the case of both Neuman…
math.SP1999
On the invariant spectrum of -invariant metrics on
Miguel Abreu, Pedro Freitas
A theorem of J. Hersch (1970) states that for any smooth metric on , with total area equal to , the first nonzero eigenvalue of the Laplace operator acting on functions is…