On the Fredholm Alternative for the Fučík Spectrum
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/125464 |
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| Summary: | 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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| ISSN: | 1085-3375 1687-0409 |