Radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry
| dc.contributor.author | McKenna, P. J. | |
| dc.contributor.author | Reichel, Wolfgang | |
| dc.date.accessioned | 2020-10-05T19:55:45Z | |
| dc.date.available | 2020-10-05T19:55:45Z | |
| dc.date.issued | 2003-04-10 | |
| dc.description.abstract | Positive entire solutions of the singular biharmonic equation ∆2u + u-q = 0 in ℝn with q > 1 and n ≥ 3 are considered. We prove that there are infinitely many radial entire solutions with different growth rates close to quadratic. If u(0) is kept fixed we show that a unique minimal entire solution exists, which separates the entire solutions from those with compact support. For the special case n = 3 and q = 7 the function U(r) = √1 /√15 + r2 is the minimal entire solution if u(0) = 15-1/4 is kept fixed. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | McKenna, P. J., & Reichel, W. (2003). Radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry. <i>Electronic Journal of Differential Equations, 2003</i>(37), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12709 | |
| 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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Singular biharmonic equation | |
| dc.subject | Conformal invariance | |
| dc.title | Radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry | |
| dc.type | Article |