Existence of solutions to asymptotically periodic Schrödinger equations
| dc.contributor.author | Furtado, Marcelo | |
| dc.contributor.author | de Marchi, Reinaldo | |
| dc.date.accessioned | 2022-03-16T20:54:41Z | |
| dc.date.available | 2022-03-16T20:54:41Z | |
| dc.date.issued | 2017-01-13 | |
| dc.description.abstract | We show the existence of a nonzero solution for the semilinear Schrödinger equation -∆u + V(x)u = ƒ(x, u). The potential V is periodic and 0 belongs to a gap of σ(-∆ + V). The function ƒ is superlinear and asymptotically periodic with respect to x variable. In the proof we apply a new critical point theorem for strongly indefinite functionals proved in [3]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Furtado, M. F., & Marchi, R. (2017). Existence of solutions to asymptotically periodic Schrödinger equations. <i>Electronic Journal of Differential Equations, 2017</i>(15), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15520 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Strongly indefinite functionals | |
| dc.subject | Schrödinger equation | |
| dc.subject | Asymptotically periodic problem | |
| dc.title | Existence of solutions to asymptotically periodic Schrödinger equations | |
| dc.type | Article |