Nonradial Solutions of a Semilinear Elliptic Equation in Two Dimensions
| dc.creator | Iaia, Joseph | |
| dc.creator | Warchall, Henry | |
| dc.date | 1993-09-13 | |
| dc.date.accessioned | 2026-07-07T09:15:57Z | |
| dc.date.available | 2026-07-07T09:15:57Z | |
| dc.description | : We establish existence of an infinite family of exponentially-decaying non-radial $C^2$ solutions to the equation $Δu + f(u) = 0$ on $R^2$ for a large class of nonlinearities $f$. These solutions have the form $u(r,θ)=e^{i mθ}w(r)$, where $r$ and $θ$ are polar coordinates, $m$ is an integer, and $w:[0,\infty ) \to R$ is exponentially decreasing far from the origin. We prove there is a solution with each prescribed number of nodes. | |
| dc.description | 21 pages, ordinary TeX | |
| dc.identifier | https://arxiv.org/abs/patt-sol/9309001 | |
| dc.identifier | http://arxiv.org/abs/patt-sol/9309001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153195 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Nonradial Solutions of a Semilinear Elliptic Equation in Two Dimensions | |
| dc.type | text |