no. 3
On the continuity of degenerate n-harmonic functions
ESAIM: Control, Optimisation and Calculus of Variations, Tome 18 (2012) no. 3, pp. 621-642

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

∫ 1 ∞ P(t) t 2 dt=∞.
∫ 1 ∞ P ( t ) t 2   d t = ∞ .

DOI : 10.1051/cocv/2011164
Classification : 35B65, 31B05
Keywords: Orlicz classes, degenerate elliptic equations, continuity 
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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

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