New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions
Antunes, Pedro ; Freitas, Pedro
Experiment. Math., Tome 15 (2006) no. 1, p. 333-342 / Harvested from Project Euclid
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We present a numerical study for the first Dirichlet eigenvalue of certain classes of planar regions. Based on this, we propose new types of bounds and establish several conjectures regarding the dependence of this eigenvalue on the perimeter and the area.
Publié le : 2006-05-14
Classification:  Dirichlet eigenvalues,  Pólya--Szegő conjectures,  35P15,  58G25 
@article{1175789762,
     author = {Antunes, Pedro and Freitas, Pedro},
     title = {New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions},
     journal = {Experiment. Math.},
     volume = {15},
     number = {1},
     year = {2006},
     pages = { 333-342},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1175789762}
}

Antunes, Pedro; Freitas, Pedro. New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions. Experiment. Math., Tome 15 (2006) no. 1, pp.  333-342. http://gdmltest.u-ga.fr/item/1175789762/