Nehari
* Zeev Nehari, mathematician * Nehari manifold in mathematics * Nihari Nihari (; bn, নিহারী; ); is a stew originating in Lucknow, the capital of 18th-century Awadh under the Mughal Empire in the Indian subcontinent. It consists of slow-cooked meat, mainly a shank cut of beef, lamb and mutton, or goa ...

Nehari Manifold
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 . It is a differentiable manifold associated to the Dirichlet problem for the semilinear elliptic partial differential equation : -\triangle u = , u, ^u,\textu\mid_ = 0. Here Δ is the Laplacian on a bounded domain Ω in R''n''. There are infinitely many solutions to this problem. Solutions are precisely the critical points for the energy functional :J(v) = \frac12\int_-\frac1\int_ on the Sobolev space . The Nehari manifold is defined to be the set of such that :\, \nabla v\, ^2_ = \, v\, ^_ > 0. Solutions 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 appro ...
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Zeev Nehari
Zeev Nehari (born Willi Weissbach; 2 February 1915 – 1978) was a mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ... who worked on Complex Analysis, Univalent Functions Theory and Differential and Integral Equations. He was a student of Michael (Mihály) Fekete. The Nehari manifold is named after him. Selected publications * * *Nehari, Zeev (1952), "Some inequalities in the theory of functions"Transactions of the American Mathematical Society 1953, Vol.75, pp. 256–286. * * References * External links * {{DEFAULTSORT:Nehari, Zeev 1915 births 1978 deaths Jewish emigrants from Nazi Germany to Mandatory Palestine 20th-century Israeli mathematicians ...
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