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2004 Second-best constant and extremal functions in Sobolev inequalities in the presence of symmetries
Zoé Faget
Adv. Differential Equations 9(7-8): 745-770 (2004).

Abstract

We prove results on the existence of extremal functions for critical Sobolev inequalities on Riemannian manifolds when the functions are invariant under an isometry group. In order to get those results, we study precisely a concentration phenomenon around an orbit for a sequence of solutions of a nonlinear PDE invariant under the isometry group.

Citation

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Zoé Faget. "Second-best constant and extremal functions in Sobolev inequalities in the presence of symmetries." Adv. Differential Equations 9 (7-8) 745 - 770, 2004.

Information

Published: 2004
First available in Project Euclid: 18 December 2012

zbMATH: 1100.58010
MathSciNet: MR2100394

Subjects:
Primary: 58J05
Secondary: 26D15, 35B40, 35J60, 46E35

Rights: Copyright © 2004 Khayyam Publishing, Inc.

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Vol.9 • No. 7-8 • 2004
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