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Liouville theorems for a class of fourth order elliptic equations

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, USA
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Synopsis

Liouville type theorems are obtained for bounded entire solutions of equations of the form Δ2u − q(x)Δu + p(x)u = 0 by means of subharmonic functionals and Green type inequalities.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 86 , Issue 1-2 , 1980 , pp. 129 - 137
Copyright
Copyright © Royal Society of Edinburgh 1980

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