Resonance with Respect to the Fucik Spectrum
| dc.contributor.author | Ben-Naoum, A. K. | |
| dc.contributor.author | Fabry, C. | |
| dc.contributor.author | Smets, Didier | |
| dc.date.accessioned | 2019-12-11T15:45:32Z | |
| dc.date.available | 2019-12-11T15:45:32Z | |
| dc.date.issued | 2000-05-17 | |
| dc.description.abstract | Let L be a self-adjoint operator on L2 (Ω; ℝ) with Ω a bounded and open subset of ℝN. This article considers the resonance problem with respect to the Fučík spectrum of L, which means that we study equations of the form Lu = αu+ - βu- + ƒ(•, u), when the homogeneous equation Lu = αu+ - βu- has non-trivial solutions. Using the computation of degrees that are not necessarily +1 or -1, we present results about the existence of solutions. Our results are illustrated with examples and can be seen as generalizations of Landseman-Lazer conditions. Non-existence results are also given. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Ben-Naoum, A. K., Fabry, C., & Smets, D. (2000). Resonance with respect to the Fucik spectrum. <i>Electronic Journal of Differential Equations, 2000</i>(37), pp. 1-21. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9050 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Resonance | |
| dc.subject | Jumping nonlinearity | |
| dc.subject | Landesman-Lazer conditions | |
| dc.title | Resonance with Respect to the Fucik Spectrum | |
| dc.type | Article |