Asymptotic behavior of positive radial solutions to elliptic equations approaching critical growth
| dc.contributor.author | Pardo, Rosa | |
| dc.contributor.author | Sanjuan, Arturo | |
| dc.date.accessioned | 2021-10-08T19:46:51Z | |
| dc.date.available | 2021-10-08T19:46:51Z | |
| dc.date.issued | 2020-11-18 | |
| dc.description.abstract | We study the asymptotic behavior of radially symmetric solutions to the subcritical semilinear elliptic problem -∆u = u N+2/N-2 / [log(e + u)]α in Ω = BR(0) ⊂ ℝN, u > 0, in Ω, u = 0, on ∂Ω, as α → 0+. Using asymptotic estimates, we prove that there exists an explicitly defined constant L(N, R) > 0, only depending on N and R, such that lim supα→0+ αuα(0)2/[log(e + uα(0))]1+ α(N+2)/2 ≤ L(N, R) ≤ 2* lim infα→0+ αuα(0)2/[log(e + uα(0))]α(N-4)/2 | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Pardo, R., & Sanjuán, A. (2020). Asymptotic behavior of positive radial solutions to elliptic equations approaching critical growth. <i>Electronic Journal of Differential Equations, 2020</i>(114), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14625 | |
| 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 | A priori bounds | |
| dc.subject | Positive solutions | |
| dc.subject | Semilinear elliptic equations | |
| dc.subject | Dirichlet boundary conditions | |
| dc.subject | Growth estimates | |
| dc.subject | Subcritical nonlinearites | |
| dc.title | Asymptotic behavior of positive radial solutions to elliptic equations approaching critical growth | |
| dc.type | Article |