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The method of Nehari manifold
Stockholm University, Faculty of Science, Department of Mathematics.
Institut für Mathematik, Goethe-Universität Frankfurt, Germany.
2010 (English)In: Handbook of Nonconvex Analysis and Applications / [ed] David Yang Gao, Dumitru Motreanu, Boston: International Press , 2010, 597-632 p.Chapter in book (Other academic)
Abstract [en]

We present a unified approach to the method of Nehari manifold for functionals which have a local minimum at 0 and we give several examples where this method is applied to the problem of finding ground states and multiple solutions for nonlinear elliptic boundary value problems. We also consider a recent generalization of this method to problems where 0 is a saddle point of the functional.

Place, publisher, year, edition, pages
Boston: International Press , 2010. 597-632 p.
Keyword [en]
Nehari manifold, generalized Nehari manifold, minimax, elliptic boundary value problem, ground state, multiple solutions
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-34042ISBN: 978-1-57146-200-8 (print)OAI: oai:DiVA.org:su-34042DiVA: diva2:284088
Available from: 2010-01-04 Created: 2010-01-04 Last updated: 2010-12-21Bibliographically approved

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http://www2.math.su.se/~andrzejs/Recent_publications/Nehari.pdf

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