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
Mots clés : Orlicz classes, degenerate elliptic equations, continuity
@article{COCV_2012__18_3_621_0,
author = {Giannetti, Flavia and Passarelli di Napoli, Antonia},
title = {On the continuity of degenerate $n$-harmonic functions},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {621--642},
publisher = {EDP-Sciences},
volume = {18},
number = {3},
year = {2012},
doi = {10.1051/cocv/2011164},
zbl = {1258.35044},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv/2011164/}
}
TY - JOUR AU - Giannetti, Flavia AU - Passarelli di Napoli, Antonia TI - On the continuity of degenerate $n$-harmonic functions JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2012 SP - 621 EP - 642 VL - 18 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv/2011164/ DO - 10.1051/cocv/2011164 LA - en ID - COCV_2012__18_3_621_0 ER -
%0 Journal Article %A Giannetti, Flavia %A Passarelli di Napoli, Antonia %T On the continuity of degenerate $n$-harmonic functions %J ESAIM: Control, Optimisation and Calculus of Variations %D 2012 %P 621-642 %V 18 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv/2011164/ %R 10.1051/cocv/2011164 %G en %F COCV_2012__18_3_621_0
Giannetti, Flavia; Passarelli di Napoli, Antonia. On the continuity of degenerate $n$-harmonic functions. ESAIM: Control, Optimisation and Calculus of Variations, Tome 18 (2012) no. 3, pp. 621-642. doi : 10.1051/cocv/2011164. http://www.numdam.org/articles/10.1051/cocv/2011164/
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