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An optimization problem for the first weighted eigenvalue problem plus a potential
Author(s):
Leandro
M.
Del Pezzo;
Julián
Fernández
Bonder
Journal:
Proc. Amer. Math. Soc.
138
(2010),
3551-3567.
MSC (2000):
Primary 49K20, 35P15, 35J10
Posted:
April 16, 2010
MathSciNet review:
2661555
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Abstract:
In this paper, we study the problem of minimizing the first eigenvalue of the  Laplacian plus a potential with weights when the potential and the weight are allowed to vary in the class of rearrangements of a given fixed potential  and weight  . Our results generalize those obtained in earlier papers.
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Additional Information:
Leandro
M.
Del Pezzo
Affiliation:
Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Pabellón I, Ciudad Universitaria (1428), Buenos Aires, Argentina
Email:
ldpezzo@dm.uba.ar
Julián
Fernández
Bonder
Affiliation:
Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Pabellón I, Ciudad Universitaria (1428), Buenos Aires, Argentina
Email:
jfbonder@dm.uba.ar
DOI:
10.1090/S0002-9939-10-10384-0
PII:
S 0002-9939(10)10384-0
Keywords:
Optimization,
nonlinear eigenvalues,
rearrangements
Received by editor(s):
June 16, 2009
Received by editor(s) in revised form:
October 30, 2009 and December 21, 2009
Posted:
April 16, 2010
Additional Notes:
The first author is a fellow of CONICET
The second author was supported by Universidad de Buenos Aires under grant X078 and by ANPCyT PICT2006-290. He is a member of CONICET
Communicated by:
Chuu-Lian Terng
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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