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- Nehari_manifold abstract "In the calculus of variations, a branch of mathematics, a Nehari manifold is a manifold of functions, whose definition is motivated by the work of Zeev Nehari (1960, 1961). It is a differential manifold associated to the Dirichlet problem for the semilinear elliptic partial differential equationHere Δ is the Laplacian on a bounded domain Ω in Rn.There are infinitely many solutions to this problem. Solutions are precisely the critical points for the energy functionalon the Sobolev space H10(Ω). The Nehari manifold is defined to be the set of v ∈ H10(Ω) such thatSolutions to the original variational problem that lie in the Nehari manifold are (constrained) minimizers of the energy, and so direct methods in the calculus of variations can be brought to bear.More generally, given a suitable functional J, the associated Nehari manifold is defined as the set of functions u in an appropriate function space for whichHere J′ is the functional derivative of J.".
- Nehari_manifold thumbnail Nehari.png?width=300.
- Nehari_manifold wikiPageExternalLink 1993333.
- Nehari_manifold wikiPageID "25235416".
- Nehari_manifold wikiPageRevisionID "466517562".
- Nehari_manifold authorlink "Zeev Nehari".
- Nehari_manifold first "Zeev".
- Nehari_manifold hasPhotoCollection Nehari_manifold.
- Nehari_manifold last "Nehari".
- Nehari_manifold year "1960".
- Nehari_manifold year "1961".
- Nehari_manifold subject Category:Calculus_of_variations.
- Nehari_manifold comment "In the calculus of variations, a branch of mathematics, a Nehari manifold is a manifold of functions, whose definition is motivated by the work of Zeev Nehari (1960, 1961). It is a differential manifold associated to the Dirichlet problem for the semilinear elliptic partial differential equationHere Δ is the Laplacian on a bounded domain Ω in Rn.There are infinitely many solutions to this problem.".
- Nehari_manifold label "Nehari manifold".
- Nehari_manifold sameAs m.09gng46.
- Nehari_manifold sameAs Q6987780.
- Nehari_manifold sameAs Q6987780.
- Nehari_manifold wasDerivedFrom Nehari_manifold?oldid=466517562.
- Nehari_manifold depiction Nehari.png.
- Nehari_manifold isPrimaryTopicOf Nehari_manifold.
