Asymptotic Behavior of Solutions for Some Nonlinear Partial Differential Equations on Unbounded Domains
| dc.contributor.author | Fleckinger, Jacqueline | |
| dc.contributor.author | Harrell, Evans M. | |
| dc.contributor.author | de Thelin, Francois | |
| dc.date.accessioned | 2020-07-02T22:36:43Z | |
| dc.date.available | 2020-07-02T22:36:43Z | |
| dc.date.issued | 2001-12-14 | |
| dc.description.abstract | We study the asymptotic behavior of positive solutions u of -∆pu(x) = V(x)u(x) p-1, p > 1; x ∈ Ω, and related partial differential inequalities, as well as conditions for existence of such solutions. Here, Ω contains the exterior of a ball in ℝN 1 < p < N, ∆p is the p-Laplacian and V is a nonnegative function. Our methods include generalized Riccati transformations, comparison theorems, and the uncertainty principle. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Fleckinger, J., Harrell, E. M., & de Thelin, F. (2001). Asymptotic behavior of solutions for some nonlinear partial differential equations on unbounded domains. <i>Electronic Journal of Differential Equations, 2001</i>(77), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/11953 | |
| dc.language.iso | en | |
| dc.publisher | Southwest 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, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | p-Laplacian | |
| dc.subject | Riccati | |
| dc.subject | Uncertainty principle | |
| dc.title | Asymptotic Behavior of Solutions for Some Nonlinear Partial Differential Equations on Unbounded Domains | |
| dc.type | Article |