Open AccessExistence of Conformal Metrics with Prescribed Q-Curvature
Author(s) -
Mohammed Alghamdi,
Hichem Chtioui,
Afef Rigane
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/568245
Subject(s) - mathematics , conformal map , path (computing) , combinatorics , curvature , mathematical analysis , geometry , computer science , programming language
We consider the problem of existence of conformal metrics with prescribed Q-curvature on standard sphere . Under the assumption that the order of flatness at critical points of prescribed Q-curvature function is , we give precise estimates on the losses of the compactness, and we prove new existence and multiplicity results through an Euler-Hopf type formula
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