Volume 18, Number 3, July-September 2012
|Page(s)||621 - 642|
|Published online||14 September 2011|
On the continuity of degenerate n-harmonic functions
Revised: 20 January 2011
We study the regularity of finite energy solutions to degenerate n-harmonic equations. The function K(x), which measures the degeneracy, is assumed to be subexponentially integrable, i.e. it verifies the condition exp(P(K)) ∈ Lloc1. The function P(t) is increasing on [0,∞[ and satisfies the divergence condition
Mathematics Subject Classification: 35B65 / 31B05
Key words: Orlicz classes / degenerate elliptic equations / continuity
© EDP Sciences, SMAI, 2011
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.