A multiplicity result for a class of superquadratic Hamiltonian systems
| dc.contributor.author | do O, Joao Marcos | |
| dc.contributor.author | Ubilla, Pedro | |
| dc.date.accessioned | 2020-09-14T19:31:36Z | |
| dc.date.available | 2020-09-14T19:31:36Z | |
| dc.date.issued | 2003-02-14 | |
| dc.description.abstract | We establish the existence of two nontrivial solutions to semilinear elliptic systems with superquadratic and subcritical growth rates. For a small positive parameter λ, we consider the system -∆v = λƒ(u) in Ω, -∆u = g(v) in Ω, u = v = 0 on ∂Ω, where Ω is a smooth bounded domain in ℝN with N ≥ 1. One solution is obtained applying Ambrosetti and Rabinowitz's classical Mountain Pass Theorem, and the other solution by a local minimization. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Marcos do O, J., & Ubilla, P. (2003). A multiplicity result for a class of superquadratic Hamiltonian systems. <i>Electronic Journal of Differential Equations, 2003</i>(15), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12606 | |
| 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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Elliptic systems | |
| dc.subject | Minimax techniques | |
| dc.subject | Mountain Pass Theorem | |
| dc.subject | Ekeland's variational principle | |
| dc.subject | Multiplicity of solutions | |
| dc.title | A multiplicity result for a class of superquadratic Hamiltonian systems | |
| dc.type | Article |