p-Kirchhoff type problem with a general critical nonlinearity
| dc.contributor.author | Zhang, Huixing | |
| dc.contributor.author | Lin, Baiquan | |
| dc.date.accessioned | 2022-01-31T18:23:35Z | |
| dc.date.available | 2022-01-31T18:23:35Z | |
| dc.date.issued | 2018-04-11 | |
| dc.description.abstract | In this article, we consider the p-Kirchhoff type problem (1 + λ ∫ℝN |∇u|p + λb ∫ℝN |u|p) (-∆pu + b|u|p-2u) = ƒ(u), x ∈ ℝN, where λ > 0, the nonlinearity ƒ can reach critical growth. Without the Ambrosetti-Robinowitz condition or the monotonicity condition on ƒ, we prove the existence of positive solutions for the p-Kirchhoff type problem. In addition, we also study the asymptotic behavior of the solutions with respect to the parameter λ → 0. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, H., & Lin, B. (2018). p-Kirchhoff type problem with a general critical nonlinearity. <i>Electronic Journal of Differential Equations, 2018</i>(89), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15256 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | p-Kirchhoff type problem | |
| dc.subject | Critical growth | |
| dc.subject | Variational methods | |
| dc.title | p-Kirchhoff type problem with a general critical nonlinearity | |
| dc.type | Article |