Infinitely many solutions for a semilinear problem on exterior domains with nonlinear boundary condition
| dc.contributor.author | Joshi, Janak | |
| dc.contributor.author | Iaia, Joseph | |
| dc.date.accessioned | 2022-02-02T21:12:55Z | |
| dc.date.available | 2022-02-02T21:12:55Z | |
| dc.date.issued | 2018-05-08 | |
| dc.description.abstract | In this article we prove the existence of an infinite number of radial solutions to ∆u + K(r)ƒ(u) = 0 with a nonlinear boundary condition on the exterior of the ball of radius R centered at the origin in ℝN such that lim r→∞ u(r) = 0 with any given number of zeros where ƒ : ℝ → ℝ is odd and there exists a β > 0 with ƒ < 0 on (0, β), ƒ > 0 on (β, ∞) with ƒ superlinear for large u, and K(r) ~ r-α with 0 < 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 | Joshi, J., & Iaia, J. A. (2018). Infinitely many solutions for a semilinear problem on exterior domains with nonlinear boundary condition. <i>Electronic Journal of Differential Equations, 2018</i>(108), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15275 | |
| 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 domain | |
| dc.subject | Superlinear | |
| dc.subject | Radial solution | |
| dc.title | Infinitely many solutions for a semilinear problem on exterior domains with nonlinear boundary condition | en_US |
| dc.type | Article |