Multiple solutions to fractional equations without the Ambrosetti-Rabinowitz condition
dc.contributor.author | Pei, Ruichang | |
dc.contributor.author | Zhang, Jihui | |
dc.contributor.author | Ma, Caochuan | |
dc.date.accessioned | 2022-03-21T13:44:04Z | |
dc.date.available | 2022-03-21T13:44:04Z | |
dc.date.issued | 2017-01-14 | |
dc.description.abstract | In this article we study a class of fractional Laplace equations which do not satisfy the Ambrosetti-Rabinowitz condition (AR-condition). We establish the existence of three nontrivial solutions and of multiple sign changing solutions by using Morse theory. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 11 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Pei, R., Zhang, J., & Ma, C. (2017). Multiple solutions to fractional equations without the Ambrosetti-Rabinowitz condition. <i>Electronic Journal of Differential Equations, 2017</i>(18), pp. 1-11. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15523 | |
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 | Fractional Laplacian | |
dc.subject | Morse theory | |
dc.subject | Sign changing solution | |
dc.subject | Improved subcritical polynomial growth | |
dc.title | Multiple solutions to fractional equations without the Ambrosetti-Rabinowitz condition | |
dc.type | Article |