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Uniqueness of positive solutions for a class of elliptic boundary value problems

Published online by Cambridge University Press:  14 November 2011

Alfonso Castro  and
Ratnasingham Shivaji
Alfonso Castro
Affiliation:
Department of Mathematics, Southwest Texas State University, San Marcos, Texas 78666, U. S. A.
Ratnasingham Shivaji
Affiliation:
Department of Mathematics, Southwest Texas State University, San Marcos, Texas 78666, U. S. A.
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Synopsis

Uniqueness of non-negative solutions conjectured in an earlier paper by Shivaji is proved. Our methods are independent of those of that paper, where the problem was considered only in a ball. Further, our results apply to a wider class of nonlinearities.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 98 , Issue 3-4 , 1984 , pp. 267 - 269
Copyright
Copyright © Royal Society of Edinburgh 1984

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References

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