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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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