Calderón-Zygmund estimates for higher order systems with p(x) growth
| dc.creator | Habermann, Jens | |
| dc.date | 2006-10-04 | |
| dc.date | 2007-03-02 | |
| dc.date.accessioned | 2026-07-07T07:49:32Z | |
| dc.date.available | 2026-07-07T07:49:32Z | |
| dc.description | For weak solutions $u \in W^{m,1}(Ω;\R^N)$ of higher order systems of the type \int_Ω< A(x,D^m u),D^m ϕ> dx = \int_Ω< |F|^{p(x)-2}F,D^m ϕ> dx, for all $ϕ\in C^{\infty}_c(Ω;\R^N), m > 1$ with variable growth exponent $p:Ω\to (1,\infty)$ we prove that if $|F|^{p(\cdot)} \in L^q_{loc}(Ω)$ with $1 < q < \frac{n}{n-2} + δ$, then $|D^m u|^{p(\cdot)} \in L^q_{loc}(Ω)$. We should note that we prove this implication both in the non-degenerate and in the degenerate case. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610146 | |
| dc.identifier | http://arxiv.org/abs/math/0610146 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124889 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Calderón-Zygmund estimates for higher order systems with p(x) growth | |
| dc.type | text |