On the equation − ∆ u + e u − 1 = 0 with measures as boundary data

نویسنده

  • Laurent Véron
چکیده

If Ω is a bounded domain in R N , we study conditions on a Radon measure µ on ∂Ω for solving the equation −∆u + e u − 1 = 0 in Ω with u = µ on ∂Ω. The conditions are expressed in terms of Orlicz capacities.

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تاریخ انتشار 2013