Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions
| dc.contributor.author | Fernandez Bonder, Julian | |
| dc.contributor.author | Pinasco, Juan Pablo | |
| dc.contributor.author | Rossi, Julio D. | |
| dc.date.accessioned | 2019-11-21T15:55:41Z | |
| dc.date.available | 2019-11-21T15:55:41Z | |
| dc.date.issued | 1999-10-07 | |
| dc.description.abstract | We prove the existence of nontrivial solutions to the system Δu = u, Δv = v, on a bounded set of ℝN, with nonlinear coupling at the boundary given by ϑu / ϑn = Hv, ϑv / ϑn = Hu. The proof is done under suitable assumptions on the Hamiltonian H, and based on a variational argument that is a generalization of the mountain pass theorem. Under further assumptions on the Hamiltonian, we prove the existence of positive solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bonder, J. F., Pinasco, J. P., & Rossi, J. D. (1999). Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions. Electronic Journal of Differential Equations, 1999(40), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/8854 | |
| 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, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Elliptic systems | |
| dc.subject | Nonlinear boundary conditions | |
| dc.subject | Variational problems | |
| dc.title | Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions | |
| dc.type | Article |