Existence of solutions for semilinear problems on exterior domains
| dc.contributor.author | Iaia, Joseph | |
| dc.date.accessioned | 2021-09-22T17:23:22Z | |
| dc.date.available | 2021-09-22T17:23:22Z | |
| dc.date.issued | 2020-04-15 | |
| dc.description.abstract | In this article we prove the existence of an infinite number of radial solutions to ∆u + K(r)ƒ(u) = 0 on ℝN such that lim r→∞ u(r) = 0 with prescribed number of zeros on the exterior of the ball of radius R > 0 where ƒ is odd with ƒ < 0 on (0, β), ƒ > 0 on (β, ∞) with ƒ superlinear for large u, and K(r) ∼ r-α with α > 2 (N - 1). | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Iaia, J. (2020). Existence of solutions for semilinear problems on exterior domains. <i>Electronic Journal of Differential Equations, 2020</i>(34), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14538 | |
| 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, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Exterior domain | |
| dc.subject | Superlinear | |
| dc.subject | Radial solution | |
| dc.title | Existence of solutions for semilinear problems on exterior domains | |
| dc.type | Article |