Open Access
2010 On the Fredholm Alternative for the Fučík Spectrum
Pavel Drábek, Stephen B. Robinson
Abstr. Appl. Anal. 2010: 1-20 (2010). DOI: 10.1155/2010/125464


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.


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Pavel Drábek. Stephen B. Robinson. "On the Fredholm Alternative for the Fučík Spectrum." Abstr. Appl. Anal. 2010 1 - 20, 2010.


Published: 2010
First available in Project Euclid: 12 August 2011

zbMATH: 1214.47011
MathSciNet: MR2754193
Digital Object Identifier: 10.1155/2010/125464

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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