Large Solutions to Semilinear Elliptic Equations with Hardy Potential and Exponential Nonlinearity
نویسنده
چکیده
On a bounded smooth domain Ω ⊂ R we study solutions of a semilinear elliptic equation with an exponential nonlinearity and a Hardy potential depending on the distance to ∂Ω. We derive global a priori bounds of the Keller–Osserman type. Using a Phragmen–Lindelöf alternative for generalized sub and super-harmonic functions we discuss existence, nonexistence and uniqueness of so-called large solutions, i.e., solution which tend to infinity at ∂Ω. The approach develops the one used by the same authors [2] for a problem with a power nonlinearity instead of the exponential nonlinearity.
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