Optimization of the principal eigenvalue under mixed boundary conditions

We investigate minimization and maximization of the principal eigenvalue of the Laplacian under mixed boundary conditions in case the weight has indefinite sign and varies in a class of rearrangements. Biologically, these optimization problems are motivated by the question of determining the mos...

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Bibliographic Details

Published in:	Electronic Journal of Differential Equations
Main Authors:	Lucio Cadeddu, Maria Antonietta Farina, Giovanni Porru
Format:	Article
Language:	English
Published:	Texas State University 2014-07-01
Subjects:	Principal eigenvalue rearrangements minimization maximization, symmetry breaking population dynamics
Online Access:	http://ejde.math.txstate.edu/Volumes/2014/154/abstr.html