CRITICAL GROWTH PROBLEMS FOR POLYHARMONIC OPERATORS

Authors
GAZZOLA F
Citation
F. Gazzola, CRITICAL GROWTH PROBLEMS FOR POLYHARMONIC OPERATORS, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 128, 1998, pp. 251-263
Citations number
25
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
128
Year of publication
1998
Part
2
Pages
251 - 263
Database
ISI
SICI code
0308-2105(1998)128:<251:CGPFPO>2.0.ZU;2-G
Abstract
We prove that critical growth problems for polyharmonic operators admi t nontrivial solutions for a wide class of lower-order perturbations o f the critical term. The results highlight the phenomenon of bifurcati on of the critical dimensions discovered by Pucci and Serrin; moreover , we show that another bifurcation seems to appear for 'nonresonant' d imensions.