A priori estimate for a family of semi-linear elliptic equations with critical nonlinearity
| dc.creator | Zhang, Lei | |
| dc.date | 2008-10-28 | |
| dc.date.accessioned | 2026-07-07T10:13:49Z | |
| dc.date.available | 2026-07-07T10:13:49Z | |
| dc.description | We consider positive solutions of $Δu-μu+Ku^{\frac{n+2}{n-2}}=0$ on $B_1$ ($n\ge 5$) where $μ$ and $K>0$ are smooth functions on $B_1$. If $K$ is very sub-harmonic at each critical point of $K$ in $B_{2/3}$ and the maximum of $u$ in $\bar B_{1/3}$ is comparable to its maximum over $\bar B_1$, then all positive solutions are uniformly bounded on $\bar B_{1/3}$. As an application, a priori estimate for solutions of equations defined on $\mathbb S^n$ is derived. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/0810.5140 | |
| dc.identifier | http://arxiv.org/abs/0810.5140 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172665 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J60, 53C21 | |
| dc.title | A priori estimate for a family of semi-linear elliptic equations with critical nonlinearity | |
| dc.type | text |