Existence of Continuous and Singular Ground States for Semilinear Elliptic Systems
| dc.contributor.author | Yarur, Cecilia S. | |
| dc.date.accessioned | 2019-05-29T15:17:49Z | |
| dc.date.available | 2019-05-29T15:17:49Z | |
| dc.date.issued | 1998-01-16 | |
| dc.description.abstract | We study existence results of a curve of continuous and singular ground states for the system -Δu = α(|x|) ƒ(v) -Δv = β(|x|) g(u), where x ∈ ℝN \ {0}, the functions ƒ and g are increasing Lipschitz continuous functions in ℝ, and α and β are nonnegative continuous functions in ℝ+. We also study general systems of the form Δu(x) + V(|x|) u + α(|x|)vp = 0 Δv(x) + V(|x|)v + b(|x|) uq = 0. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 27 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Yarur, C. S. (1998). Existence of continuous and singular ground states for semilinear elliptic systems. Electronic Journal of Differential Equations, 1998(01), pp. 1-27. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/8211 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Semilinear elliptic systems | |
| dc.subject | Ground states | |
| dc.title | Existence of Continuous and Singular Ground States for Semilinear Elliptic Systems | |
| dc.type | Article |