Existence of infinitely many solutions for singular semilinear problems on exterior domains
| dc.contributor.author | Iaia, Joseph | |
| dc.date.accessioned | 2021-12-03T18:38:03Z | |
| dc.date.available | 2021-12-03T18:38:03Z | |
| dc.date.issued | 2019-09-23 | |
| dc.description.abstract | In this article we prove the existence of infinitely many radial solutions of ∆u + K(r)ƒ(u) = 0 on the exterior of the ball of radius R > 0, BR, centered at the origin in ℝN with u = 0 on ∂BR and lim r→∞ u(r) = 0 where N > 2, ƒ is odd with ƒ < 0 on (0, β), ƒ < 0 on (β, ∞), ƒ is superlinear for large u, ƒ(u) ~ -1/(|u|q-1u) with 0 < q < 1 for small u, and 0 < K(r) ≤ K1/rα with N + q(N - 2) < α < 2(N - 1) for large r. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Iaia, J. A. (2019). Existence of infinitely many solutions for singular semilinear problems on exterior domains. <i>Electronic Journal of Differential Equations, 2019</i>(108), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15002 | |
| 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 | Exterior domain | |
| dc.subject | Semilinear | |
| dc.subject | Singular | |
| dc.subject | Superlinear | |
| dc.subject | Radial solution | |
| dc.title | Existence of infinitely many solutions for singular semilinear problems on exterior domains | |
| dc.type | Article |