A minimax inequality for a class of functionals and applications to the existence of solutions for two-point boundary-value problems
| dc.contributor.author | Afrouzi, Ghasem Alizadeh | |
| dc.contributor.author | Heidarkhani, Shapour | |
| dc.date.accessioned | 2021-07-20T18:10:50Z | |
| dc.date.available | 2021-07-20T18:10:50Z | |
| dc.date.issued | 2006-10-02 | |
| dc.description.abstract | In this paper, we establish an equivalent statement to minimax inequality for a special class of functionals. As an application, we prove the existence of three solutions to the Dirichlet problem -u″(x) + m(x)u(x) = λƒ(x, u(x)), x ∈ (α, b), u(α) = u(b) = 0, where λ > 0, ƒ : [α, b] x ℝ → ℝ is a continuous function which changes sign on [α, b] x ℝ and m(x) ∈ C ([α, b]) is a positive function. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Afrouzi, G. A., & Heidarkhani, S. (2006). A minimax inequality for a class of functionals and applications to the existence of solutions for two-point boundary-value problems. <i>Electronic Journal of Differential Equations, 2006</i>(121), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13994 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Minimax inequality | |
| dc.subject | Critical point | |
| dc.subject | Three solutions | |
| dc.subject | Multiplicity results | |
| dc.subject | Dirichlet problem | |
| dc.title | A minimax inequality for a class of functionals and applications to the existence of solutions for two-point boundary-value problems | |
| dc.type | Article |