Existence of infinitely many solutions of p-Laplacian equations in R^N+
| dc.contributor.author | Zhao, Junfang | |
| dc.contributor.author | Liu, Xiangqing | |
| dc.contributor.author | Liu, Jiaquan | |
| dc.date.accessioned | 2021-11-29T20:30:39Z | |
| dc.date.available | 2021-11-29T20:30:39Z | |
| dc.date.issued | 2019-07-16 | |
| dc.description.abstract | In this article, we study the p-Laplacian equation -∆pu = 0, in ℝN+, |∇u|p-2 ∂u/∂n + α(y)|u|p-2u = |u|q-2u, on ∂ℝN+ = ℝN-1, where 1 < p < N, p < q < p̄ = (N - 1)p/ N - p, ∆p = div(|∇u|p-2∇u) the p-Laplacian operator, and the positive, finite function α(y) satisfies suitable decay assumptions at infinity. By using the truncation method, we prove the existence of infinitely many solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhao, J., Liu, X., & Liu, J. (2019). Existence of infinitely many solutions of p-Laplacian equations in R^N+. <i>Electronic Journal of Differential Equations, 2019</i>(87), pp. 1-20. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14975 | |
| 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, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | p-Lalacian equation | |
| dc.subject | Half space | |
| dc.subject | Boundary value problem | |
| dc.subject | Multiple solutions | |
| dc.subject | Truncation method | |
| dc.title | Existence of infinitely many solutions of p-Laplacian equations in R^N+ | |
| dc.type | Article |