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An inverse mapping theorem for Sobolev chains and its application

Published online by Cambridge University Press:  17 April 2009

Truong Công Nghê
Truong Công Nghê
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales 2006, Australia.
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Abstract

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The author combines the methods used by Yamamuro and Omori to define a differentiation in Sobolev chains and obtain an Inverse Mapping Theorem. He then uses this theorem to give a new proof for a result of Sunada on the local finite-dimensionality of the solution space of a non-linear elliptic differential operator with smooth coefficients.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 3 , June 1983 , pp. 381 - 394
Copyright
Copyright © Australian Mathematical Society 1983

References

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