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Existence of infinitely many purely imaginary resonances in the problem of potential scattering

✍ Scribed by A.G. Ramm


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
144 KB
Volume
101
Category
Article
ISSN
0375-9601

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Energy Gap Phenomenon and the Existence
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We study the relations between energy gap and multiplicity of harmonic maps for the Dirichlet problem. We show that if energy gap occurs, then there exist infinitely many weakly harmonic maps for the Dirichlet problem under some topological assumptions of the target manifold. (C) 1995 Academic Press