Back to the Keller-Osserman condition for boundary blow-up solutions
نویسندگان
چکیده
This article is concerned with the existence, uniqueness and numerical approximation of boundary blow up solutions for elliptic PDE’s as ∆u = f(u) where f satisfies the so-called Keller-Osserman condition. We characterize existence of such solutions for non-monotone f . As an example, we construct an infinite family of boundary blow up solutions for the equation ∆u = u(1 + cos u) on a ball. We prove uniqueness (on balls) when f is increasing and convex in a neighborhood of infinity and we discuss and perform some numerical computations to approximate such boundary blow-up solutions. 2000 AMS Mathematics Subject Classification. 35J60.
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