Existence and nonexistence for singular sublinear problems on exterior domains
| dc.contributor.author | Ali, Mageed | |
| dc.contributor.author | Iaia, Joseph | |
| dc.date.accessioned | 2021-08-19T19:15:44Z | |
| dc.date.available | 2021-08-19T19:15:44Z | |
| dc.date.issued | 2021-01-07 | |
| dc.description.abstract | In this article we study the existence of radial solutions of 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 u near 0 with 0 < q < 1, and ƒ(u) ~ |u|p-1u for large |u| with 0 < p < 1. Also, K (|x|) ~ |x|-α with N + q(N - 2) < 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). Existence and nonexistence for singular sublinear problems on exterior domains. <i>Electronic Journal of Differential Equations, 2021</i>(03), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14400 | |
| 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 domains | |
| dc.subject | Singular problems | |
| dc.subject | Sublinear | |
| dc.subject | Radial solution | |
| dc.title | Existence and nonexistence for singular sublinear problems on exterior domains | |
| dc.type | Article |