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Bifurcation of Gradient Mappings Possessing the Palais-Smale Condition
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper considers bifurcation at the principal eigenvalue of a class of gradient operators which possess the Palais-Smale condition.
The existence of the bifurcation branch and the asymptotic nature of the bifurcation is verified by using the compactness in the Palais Smale condition and the order of the nonlinearity in the operator.
The main result is applied to estimate the asyptotic behaviour of solutions to a class of semilinear elliptic equations with a critical Sobolev exponent.
American Psychological Association (APA)
Tonkes, Elliot. 2011. Bifurcation of Gradient Mappings Possessing the Palais-Smale Condition. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-481183
Modern Language Association (MLA)
Tonkes, Elliot. Bifurcation of Gradient Mappings Possessing the Palais-Smale Condition. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-481183
American Medical Association (AMA)
Tonkes, Elliot. Bifurcation of Gradient Mappings Possessing the Palais-Smale Condition. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-481183
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481183