Prescribed energy saddle-point solutions of nonlinear indefinite problems
| dc.contributor.author | Il'yasov, Yavdat | |
| dc.contributor.author | da Silva, Edcarlos Domingos | |
| dc.contributor.author | da Silva, Maxwell Lizete | |
| dc.date.accessioned | 2023-05-23T18:40:51Z | |
| dc.date.available | 2023-05-23T18:40:51Z | |
| dc.date.issued | 2023-03-04 | |
| dc.description.abstract | A minimax variational method for finding mountain pass-type solutions with prescribed energy levels is introduced. The method is based on application of the Linking Theorem to the energy-level nonlinear Rayleigh quotients which critical points correspond to the solutions of the equation with prescribed energy. An application of the method to nonlinear indefinite elliptic problems with nonlinearities that does not satisfy the Ambrosetti-Rabinowitz growth conditions is also presented. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Il'yasov, Y., da Silva, E. D., & da Silva, M. L. (2023). Prescribed energy saddle-point solutions of nonlinear indefinite problems. <i>Electronic Journal of Differential Equations, 2023</i>(23), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16858 | |
| dc.language.iso | en | |
| dc.publisher | 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, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Indefinite problems | |
| dc.subject | Linking theorems | |
| dc.subject | Rayleigh quotient | |
| dc.title | Prescribed energy saddle-point solutions of nonlinear indefinite problems | |
| dc.type | Article |