On Estimates of Biharmonic Functions on Lipschitz and Convex Domains
| dc.creator | Shen, Zhongwei | |
| dc.date | 2005-10-03 | |
| dc.date.accessioned | 2026-07-07T06:20:51Z | |
| dc.date.available | 2026-07-07T06:20:51Z | |
| dc.description | Using Maz'ya type integral identities with power weights, we obtain new boundary estimates for biharmonic functions on Lipschitz and convex domains in $R^n$. For $n\ge 8$, combined with a result in \cite{S2}, these estimates lead to the solvability of the $L^p$ Dirichlet problem for the biharmonic equation on Lipschitz domains for a new range of $p$. In the case of convex domains, the estimates allow us to show that the $L^p$ Dirichlet problem is uniquely solvable for any $2-\e<p<\infty$ and $n\ge 4$. | |
| dc.identifier | https://arxiv.org/abs/math/0510053 | |
| dc.identifier | http://arxiv.org/abs/math/0510053 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95429 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J40 | |
| dc.title | On Estimates of Biharmonic Functions on Lipschitz and Convex Domains | |
| dc.type | text |