Existence of multiple positive solutions for fractional Laplace problems with critical growth
| dc.contributor.author | Zhang, Yajing | |
| dc.contributor.author | Li, Qiaoqin | |
| dc.contributor.author | Pang, Lu | |
| dc.date.accessioned | 2021-08-23T14:17:24Z | |
| dc.date.available | 2021-08-23T14:17:24Z | |
| dc.date.issued | 2021-03-31 | |
| dc.description.abstract | We prove the existence of multiple positive solutions of fractional Laplace problems with critical growth, we consider the concave power case or the convex power case. We establish the relationship between the number of the local maximum points of the coefficient function of the critical nonlinearity and the number of the positive solutions of the equation. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 27 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, Y., Li, Q., & Pang, L. (2021). Existence of multiple positive solutions for fractional Laplace problems with critical growth. <i>Electronic Journal of Differential Equations, 2021</i>(23), pp. 1-27. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14420 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Positive solutions | |
| dc.subject | Fractional Laplace problems | |
| dc.subject | Critical growth | |
| dc.subject | Variational method | |
| dc.subject | Nehari manifold | |
| dc.title | Existence of multiple positive solutions for fractional Laplace problems with critical growth | |
| dc.type | Article |