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Critical growth problems for polyharmonic operators

Published online by Cambridge University Press:  14 November 2011

Filippo Gazzola
Filippo Gazzola
Affiliation:
Dipartimento di Scienze T.A.—via Cavour 84, 15100 Alessandria, Italy
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Abstract

We prove that critical growth problems for polyharmonic operators admit nontrivial solutions for a wide class of lower-order perturbations of the critical term. The results highlight the phenomenon of bifurcation of the critical dimensions discovered by Pucci and Serrin; moreover, we show that another bifurcation seems to appear for ‘nonresonant’ dimensions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 2 , 1998 , pp. 251 - 263
Copyright
Copyright © Royal Society of Edinburgh 1998

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