An optimization problem for the first weighted eigenvalue problem plus a potential
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- by Leandro M. Del Pezzo and Julián Fernández Bonder PDF
- Proc. Amer. Math. Soc. 138 (2010), 3551-3567 Request permission
Abstract:
In this paper, we study the problem of minimizing the first eigenvalue of the $p-$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 $V_0$ and weight $g_0$. Our results generalize those obtained in earlier papers.References
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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
- Received by editor(s): June 16, 2009
- Received by editor(s) in revised form: October 30, 2009, and December 21, 2009
- Published electronically: 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 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 3551-3567
- MSC (2000): Primary 49K20, 35P15, 35J10
- DOI: https://doi.org/10.1090/S0002-9939-10-10384-0
- MathSciNet review: 2661555