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The gap phenomenon for variational integrals in Sobolev spaces*

Published online by Cambridge University Press:  14 November 2011

M. Giaquinta ,
G. Modica  and
J. Souček
M. Giaquinta
Affiliation:
Dip. di Matematica Applicata, Università di Firenze, Via S. Marta, 3, I-50139 Firenze, Italy
G. Modica
Affiliation:
Dip. di Matematica Applicata, Università di Firenze, Via S. Marta, 3, I-50139 Firenze, Italy
J. Souček
Affiliation:
Československá Akademie Věd, Matematický Ústav, Žitná, 25, 11567 Praha, Czechoslovakia
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Synopsis

We show that a gap phenomenon occurs for general variational integrals for mappings from a domain Rn into a Riemannian manifold if has a non-trivial topology.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 120 , Issue 1-2 , 1992 , pp. 93 - 98
Copyright
Copyright © Royal Society of Edinburgh 1992

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References

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