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Some new properties of Sobolev mappings: intersection theoretical approach

Published online by Cambridge University Press:  14 November 2011

Takeshi Isobe
Takeshi Isobe
Affiliation:
Department of Mathematics, Faculty of Science, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152, Japan
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Abstract

In this paper, we give some new examples of the energy gap phenomenon for functionals defined in Sobolev spaces. Our result is independent of that of Giaquinta, Modica and Soucek. We also give some new characterisations of Sobolev maps which can be approximated by smooth maps.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 127 , Issue 2 , 1997 , pp. 337 - 358
Copyright
Copyright © Royal Society of Edinburgh 1997

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