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arXiv:1103.3023 [math.AP]AbstractReferencesReviewsResources

On the equation $-Δu+e^{u}-1=0$ with measures as boundary data

Laurent Veron

Published 2011-03-15Version 1

If $\Omega$ is a bounded domain in $\mathbb R^N$, we study conditions on a Radon measure $\mu$ on $\partial\Omega$ for solving the equation $-\Delta u+e^{u}-1=0$ in $\Omega$ with $u=\mu$ on $\partial\Omega$. The conditions are expressed in terms of Orlicz capacities.

Comments: Version d\'etaill\'ee de la note pr\'eliminaire hal-00573805
Categories: math.AP
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