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On the Fredholm Alternative for the Fučík Spectrum
Joint Authors
Drabek, Pavel
Robinson, Stephen B.
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-13
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We consider resonance problems for the one-dimensional p-Laplacian assuming Dirichlet boundary conditions.
In particular, we consider resonance problems associated with the first three curves of the Fučík Spectrum.
Using variational arguments based on linking theorems, we prove sufficient conditions for the existence of at least one solution.
Our results are related to the classical Fredholm Alternative for linear operators.
We also provide a new variational characterization for points on the third Fučík curve.
American Psychological Association (APA)
Drabek, Pavel& Robinson, Stephen B.. 2011. On the Fredholm Alternative for the Fučík Spectrum. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-20.
https://search.emarefa.net/detail/BIM-447615
Modern Language Association (MLA)
Drabek, Pavel& Robinson, Stephen B.. On the Fredholm Alternative for the Fučík Spectrum. Abstract and Applied Analysis No. 2010 (2010), pp.1-20.
https://search.emarefa.net/detail/BIM-447615
American Medical Association (AMA)
Drabek, Pavel& Robinson, Stephen B.. On the Fredholm Alternative for the Fučík Spectrum. Abstract and Applied Analysis. 2011. Vol. 2010, no. 2010, pp.1-20.
https://search.emarefa.net/detail/BIM-447615
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447615