Bubble towers for supercritical semilinear elliptic equations
| dc.creator | Ge, Yuxin | |
| dc.creator | Jing, Ruihua | |
| dc.creator | Pacard, Frank | |
| dc.date | 2004-09-09 | |
| dc.date.accessioned | 2026-07-07T05:11:58Z | |
| dc.date.available | 2026-07-07T05:11:58Z | |
| dc.description | We construct positive solutions of the semilinear elliptic problem $Δu+ λu + u^p = 0$ with Dirichet boundary conditions, in a bounded smooth domain $Ω\subset \R^N$ $(N\geq 4)$, when the exponent $p$ is supercritical and close enough to $\frac{N+2}{N-2}$ and the parameter $λ\in\R$ is small enough. As $p\to \frac{N+2}{N-2}$, the solutions have multiple blow up at finitely many points which are the critical points of a function whose definition involves Green's function. Our result extends the result of Del Pino, Dolbeault and Musso \cite{DDM} when $Ω$ is a ball and the solutions are radially symmetric. | |
| dc.identifier | https://arxiv.org/abs/math/0409153 | |
| dc.identifier | http://arxiv.org/abs/math/0409153 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72424 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J60; 35J25 | |
| dc.title | Bubble towers for supercritical semilinear elliptic equations | |
| dc.type | text |