The method of Nehari manifold
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)
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.
Nehari manifold, generalized Nehari manifold, minimax, elliptic boundary value problem, ground state, multiple solutions
Research subject Mathematics
IdentifiersURN: urn:nbn:se:su:diva-34042ISBN: 978-1-57146-200-8OAI: oai:DiVA.org:su-34042DiVA: diva2:284088