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On Radially Symmetric Minima of Nonconvex Functionals

✍ Scribed by Filippo Gazzola

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
154 KB
Volume
258
Category
Article
ISSN
0022-247X

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✦ Synopsis

We study a minimization problem in the space W B where B is the ball of 0 R R radius R with center at the origin; the functional considered is not necessarily convex. Under suitable assumptions, we prove the existence of a radially symmetric Ε½ . decreasing solution. By strengthening the assumptions we obtain uniqueness results. Finally, we study under which assumptions and in which sense the solutions found solve the corresponding Euler equation. The proofs are very direct and " w simple: they only make use of the functions T introduced by the author Arch. n x

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