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On the continuity of degenerate n-harmonic functions
Published online by Cambridge University Press: 14 September 2011
Abstract
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 \begin{equation}
\int_1^\infty\frac{P(t)}{t^2}\,{\rm d}t=\infty.
\end{equation}
∫1∞P(t)t2 dt=∞.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 18 , Issue 3 , July 2012 , pp. 621 - 642
- Copyright
- © EDP Sciences, SMAI, 2011
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