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Entire solutions of Δpu = f(r, u)

Published online by Cambridge University Press:  14 November 2011

Wolfgang Walter  and
H. Rhee
Wolfgang Walter
Affiliation:
Universität Karlsuhe, F.D.R. and Univercity of Tennessee, Knoxville, Tennessee, U.S.A.
H. Rhee
Affiliation:
State University College, Oneonta, New York, U.S.A.
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Extract

Sufficient conditions are given which ensure nonexistence of spherically symmetric entire solutions of Δpu = f(u), p ≧ 2. Sufficient conditions for existence of spherically symmetric entire solutions of Δpu = f(r, u) are also given.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 82 , Issue 3-4 , 1979 , pp. 189 - 192
Copyright
Copyright © Royal Society of Edinburgh 1979

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References

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