| Issue |
ESAIM: COCV
Volume 18, Number 3, July-September 2012
|
|
|---|---|---|
| Page(s) | 621 - 642 | |
| DOI | https://doi.org/10.1051/cocv/2011164 | |
| Published online | 14 September 2011 | |
On the continuity of degenerate n-harmonic functions
Dipartimento di Matematica e Applicazioni “R. Caccioppoli”,
Università di Napoli “Federico II”, via Cintia, 80126
Napoli,
Italy
antonia.passarelli@unina.it; flavia.giannetti@unina.it
Received:
5
October
2010
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
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