An optimization problem for the first weighted eigenvalue problem plus a potential

• Autores: Leandro M. del Pezzo, Julián Fernández Bonder
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3551-3567
• Idioma: inglés
• DOI: 10.1090/s0002-9939-10-10384-0
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• Resumen

  • 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.