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Liouville theorems for elliptic systems and nonlinear equations of fourth order

Published online by Cambridge University Press:  14 November 2011

Vinod B. Goyal  and
Philip W. Schaefer
Vinod B. Goyal
Affiliation:
Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India
Philip W. Schaefer
Affiliation:
Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37916, U.S.A.
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Synopsis

Liouville theorems are obtained for fourth order elliptic systems of the form Δ2U + B Δ U + AU = 0 and for fourth order nonlinear equations of the form Δ2u−q(x) Δu + p(x)f(u) = 0 as a consequence of two related subharmonic functions, the mean value property of subharmonic functions, and a basic Green identity.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 91 , Issue 3-4 , 1982 , pp. 235 - 242
Copyright
Copyright © Royal Society of Edinburgh 1982

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References

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