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Weak limits of Palais-Smale sequences for a class of critical functionals
Authors:Fabrice Bethuel
Affiliation:(1) ENPC-CERMA, La Courtine, F-93167 Noisy La Grand, Cedex, France;(2) CMLA, Cachan, 61 Avenue du President Wilson, F-94235 Cachan Cedex, France
Abstract:We show that, for two dimensional domains, Palais-Smale sequences for theH-equation functional or the harmonic map functional converge weakly (up to subsequences) to solutions of the equations.
Keywords:49J45  58E20  53A10
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