Existence and nonexistence of solutions for sublinear problems with prescribed number of zeros on exterior domains
| dc.contributor.author | Joshi, Janak | |
| dc.date.accessioned | 2022-05-02T17:36:56Z | |
| dc.date.available | 2022-05-02T17:36:56Z | |
| dc.date.issued | 2017-05-16 | |
| dc.description.abstract | We prove existence of radial solutions of ∆u + K(r)ƒ(u) = 0 on the exterior of the ball, of radius R, centered at the origin in ℝN such that lim r→∞ u(r) = 0 if R > 0 is sufficiently small. We assume ƒ : ℝ → ℝ is odd and there exists a β > 0 with ƒ < 0 on (0, β), ƒ > 0 on (β, ∞) with ƒ sublinear for large u, and K(r) ~ r-α for large r with α > 2(N - 1). We also prove nonexistence if R > 0 is sufficiently large. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Joshi, J. (2017). Existence and nonexistence of solutions for sublinear problems with prescribed number of zeros on exterior domains. <i>Electronic Journal of Differential Equations, 2017</i>(132), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15735 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Exterior domain | |
| dc.subject | Sublinear | |
| dc.subject | Radial solution | |
| dc.title | Existence and nonexistence of solutions for sublinear problems with prescribed number of zeros on exterior domains | |
| dc.type | Article |