Translator Disclaimer
2001 Nonlinear elliptic problems with $p$-structure under mixed boundary value conditions in polyhedral domains
Carsten Ebmeyer
Adv. Differential Equations 6(7): 873-895 (2001).

Abstract

Nonlinear elliptic systems with $p$-structure for $p \! \geq \! 2$, such as \[ -\mbox{div}\left((1+|\nabla u|^{p-2})\nabla u\right) =f(x)+\sum_{i=1}^n\partial_if_i(x) ,\] are considered under mixed boundary value conditions on nonsmooth domains. Regularity results in fractional-order Sobolev spaces are proven, e.g., $u\in W^{r,p}(\Omega)$ for all $r <1+\frac{1}{p}$ and $|\nabla u|^p\in W^{s,1}(\Omega)$ for some $s>1$.

Citation

Download Citation

Carsten Ebmeyer. "Nonlinear elliptic problems with $p$-structure under mixed boundary value conditions in polyhedral domains." Adv. Differential Equations 6 (7) 873 - 895, 2001.

Information

Published: 2001
First available in Project Euclid: 2 January 2013

zbMATH: 1223.35150
MathSciNet: MR1829000

Subjects:
Primary: 35J55
Secondary: 35J25, 35J60, 35J65

Rights: Copyright © 2001 Khayyam Publishing, Inc.

JOURNAL ARTICLE
23 PAGES


SHARE
Vol.6 • No. 7 • 2001
Back to Top