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Mar 31, 2015 at 20:30 comment added Denis Serre This is not a special case. All the solutions $u$ are given by this formula, for a suitable holomorphic function $f$.
Mar 31, 2015 at 18:04 comment added user36931 That seems reasonable, but perhaps I am not understanding the following. Your answer treats the case of $\Delta(u)=-e^{-u}$,correct? What does this imply about the above inequality(other than being a special case)?
Mar 31, 2015 at 15:52 history edited Denis Serre CC BY-SA 3.0
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Mar 31, 2015 at 13:05 history answered Denis Serre CC BY-SA 3.0