Asymmetric critical fractional p-Laplacian problems
| dc.contributor.author | Huang, Li | |
| dc.contributor.author | Yang, Yang | |
| dc.date.accessioned | 2022-04-11T13:30:06Z | |
| dc.date.available | 2022-04-11T13:30:06Z | |
| dc.date.issued | 2017-04-18 | |
| dc.description.abstract | We consider the asymmetric critical fractional p-Laplacian problem (-∆)spu = λ|u|p-2u + up*s-1+, in Ω u = 0, in ℝN \ Ω where λ > 0 is a constant, p*s = Np/(N - sp) is the fractional critical Sobolev exponent, and u+(x) = max{u(x), 0}. This extends a result in the literature for the local case s = 1. We prove the theorem based on the concentration compactness principle of the fractional p-Laplacian and a linking theorem based on the ℤ2-cohomological index. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Huang, L., & Yang, Y. (2017). Asymmetric critical fractional p-Laplacian problems. <i>Electronic Journal of Differential Equations, 2017</i>(103), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15635 | |
| 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 p-Laplacian | |
| dc.subject | Critical nonlinearity | |
| dc.subject | Asymmetric nonlinearity | |
| dc.subject | Linking | |
| dc.subject | ℤ2-cohomological index | |
| dc.title | Asymmetric critical fractional p-Laplacian problems | |
| dc.type | Article |