Infinitely many solutions for a singular semilinear problem on exterior domains
| dc.contributor.author | Ali, Mageed | |
| dc.contributor.author | Iaia, Joseph | |
| dc.date.accessioned | 2021-08-27T18:37:27Z | |
| dc.date.available | 2021-08-27T18:37:27Z | |
| dc.date.issued | 2021-08-10 | |
| dc.description.abstract | In this article we prove the existence of an infinite number of radial solutions to ΔU + K(x)ƒ(U) = 0 on the exterior of the ball of radius R > 0 centered at the origin in ℝN with U = 0 on ∂BR, and lim|x|→∞ U(x) = 0 where N > 2, ƒ(U) ~ -1/|U|q-1U for small U ≠ 0 with 0 < q < 1, and ƒ(U) ~ |U|p-1U for large |U| with p > 1. Also, K(x) ~ |x|-α with α > 2(N - 1) for large |x|. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Ali, M., & Iaia, J. A. (2021). Infinitely many solutions for a singular semilinear problem on exterior domains. <i>Electronic Journal of Differential Equations, 2021</i>(68), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14478 | |
| 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, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Exterior domain | |
| dc.subject | Semilinear equation | |
| dc.subject | Radial solution | |
| dc.title | Infinitely many solutions for a singular semilinear problem on exterior domains | |
| dc.type | Article |