Existence of solutions for sublinear equations on exterior domains
| dc.contributor.author | Iaia, Joseph | |
| dc.date.accessioned | 2022-03-10T14:46:03Z | |
| dc.date.available | 2022-03-10T14:46:03Z | |
| dc.date.issued | 2018-11-06 | |
| dc.description.abstract | In this article we consider the 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(u) ~ u p with 0 < p < 1 for large u and K(r) ~ r-α with (N+2)-p(N-2)/2 ≤ α < N - p(N - 2) for large r. We prove existence of n solutions - one with exactly n zeros on [R, ∞) - if R > 0 is sufficiently small. If R > 0 is sufficiently large then there are no solutions with lim r→∞ u(r) = 0. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Iaia, J. A. (2018). Existence of solutions for sublinear equations on exterior domains. <i>Electronic Journal of Differential Equations, 2018</i>(181), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15477 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Exterior domains | |
| dc.subject | Semilinear | |
| dc.subject | Sublinear | |
| dc.subject | Radial solution | |
| dc.title | Existence of solutions for sublinear equations on exterior domains | |
| dc.type | Article |