Optimal conditions for $L^\infty$-regularity and a priori estimates for elliptic systems, I: two components
| dc.creator | Yuxiang, Li | |
| dc.date | 2008-05-29 | |
| dc.date.accessioned | 2026-07-07T09:41:36Z | |
| dc.date.available | 2026-07-07T09:41:36Z | |
| dc.description | In this paper we present a new bootstrap procedure for elliptic systems with two unknown functions. Combining with the $L^p$-$L^q$-estimates, it yields the optimal $L^\infty$-regularity conditions for the three well-known types of weak solutions: $H_0^1$-solutions, $L^1$-solutions and $L^1_δ$-solutions. Thanks to the linear theory in $L^p_δ(Ω)$, it also yields the optimal conditions for a priori estimates for $L^1_δ$-solutions. Based on the a priori estimates, we improve known existence theorems for some classes of elliptic systems. | |
| dc.description | 21pages | |
| dc.identifier | https://arxiv.org/abs/0805.4550 | |
| dc.identifier | http://arxiv.org/abs/0805.4550 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161882 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J25, 35J55, 35J60, 35B45, 35B65. | |
| dc.title | Optimal conditions for $L^\infty$-regularity and a priori estimates for elliptic systems, I: two components | |
| dc.type | text |