Large solutions of semilinear elliptic equations under the Keller-Osserman condition |
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Authors: | Alan V Lair |
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Institution: | Department of Mathematics and Statistics, Air Force Institute of Technology/ENC, 2950 Hobson Way, Wright Patterson AFB, OH 45433-7765, USA |
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Abstract: | We consider the equation Δu=p(x)f(u) where p is a nonnegative nontrivial continuous function and f is continuous and nondecreasing on 0,∞), satisfies f(0)=0, f(s)>0 for s>0 and the Keller-Osserman condition where . We establish conditions on the function p that are necessary and sufficient for the existence of positive solutions, bounded and unbounded, of the given equation. |
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Keywords: | Entire solution Large solution Elliptic equation Sublinear |
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