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Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems

Hajaiej, H. ; Stuart, C.A.

In: Annali di Matematica Pura ed Applicata (1923 -), 2005, vol. 184, no. 3, p. 297-314

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    Titre
    • Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems
    Auteur
    • Hajaiej, H.. IACS-FSB, Section de Mathématiques, EPFL, CH-1015, Lausanne, Switzerland
    • Stuart, C.A.. IACS-FSB, Section de Mathématiques, EPFL, CH-1015, Lausanne, Switzerland
    Type de document
    • Postprint
    Langue
    • Inglese
    Publié dans
    • Annali di Matematica Pura ed Applicata (1923 -), 2005, vol. 184, no. 3, p. 297-314. Springer Berlin Heidelberg; www.springer.de
    Autre version électronique
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:322441
    Summary
    We determine a class of Carathéodory functions G for which the minimum formulated in the problem (1.1) below is achieved at a Schwarz symmetric function satisfying the constraint. Our hypotheses about G seem natural and, as our examples show, they are optimal from some points of view