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arXiv:1103.0975 [math.AP]AbstractReferencesReviewsResources

A note on the equation $-Δu+e^{u}-1=0$

Laurent Veron

Published 2011-03-04, updated 2011-10-26Version 2

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 nonlinear capacities.

Comments: Preliminary report of a paper initialy written in May 2004. To appear in Mathematische Zeitschrift
Categories: math.AP
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