Unbounded solutions for Schrodinger quasilinear elliptic problems with perturbation by a positive non-square diffusion term
| dc.contributor.author | Santos, Carlos Alberto | |
| dc.contributor.author | Zhou, Jiazheng | |
| dc.date.accessioned | 2022-02-02T16:32:30Z | |
| dc.date.available | 2022-02-02T16:32:30Z | |
| dc.date.issued | 2018-05-03 | |
| dc.description.abstract | In this article, we present a version of Keller-Osserman condition for the Schrödinger quasilinear elliptic problem -∆u + k/2 u∆u2 = α(x)g(u) in ℝN u > 0 in ℝN, lim|x|→∞ u(x) = ∞, where α : ℝN → [0, ∞) and g : [0, ∞) are suitable continuous functions, N ≥ 1, and k > 0 is a parameter. By combining a dual approach and this version of Keller-Osserman condition, we show the existence and multiplicity of solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Santos, C. A., & Zhou, J. (2018). Unbounded solutions for Schrodinger quasilinear elliptic problems with perturbation by a positive non-square diffusion term. <i>Electronic Journal of Differential Equations, 2018</i>(102), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15269 | |
| 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 | Schrödinger equations | |
| dc.subject | Blow up solutions | |
| dc.subject | Quasilinear problems | |
| dc.subject | Non-square diffusion | |
| dc.subject | Multiplicity of solutions | |
| dc.title | Unbounded solutions for Schrodinger quasilinear elliptic problems with perturbation by a positive non-square diffusion term | |
| dc.type | Article |