Monica Marras
Abstract:
We minimize the energy integral
, where
is a bounded
positive function that varies in a class of rearrangements,
, and
is a solution of
Also we maximize the first eigenvalue
, where
For both problems, we prove existence,
uniqueness, and representation of the optimizers.
Submitted November 2, 2009. Published January 5, 2010.
Math Subject Classifications: 35J25, 49K20, 47A75.
Key Words: p-Laplacian; energy integral; eigenvalues; rearrangements;
shape optimization
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Monica Marras Dipartimento di Matematica e Informatica Universitá di Cagliari Via Ospedale 72, 09124 Cagliari, Italy email: mmarras@unica.it |
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