On the equation $-Δu+e^{u}-1=0$ with measures as boundary data
Лаурент Верон · arXiv (Cornell University) · 2011
If $Ω$ is a bounded domain in $\mathbb R^N$, we study conditions on a Radon measure $μ$ on $\partialΩ$ for solving the equation $-Δu+e^{u}-1=0$ in $Ω$ with $u=μ$ on $\partialΩ$. The conditions are expressed in terms of Orlicz capacities.