Large solutions to non-monotone semilinear elliptic systems |
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| Authors: | Jesse D Peterson Aihua W Wood |
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| Institution: | a Department of Mathematics, University of Missouri, Columbia, MO 65211, USA
b Department of Mathematics and Statistics, Air Force Institute of Technology, Wright Patterson AFB, OH 45433, United States |
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| Abstract: | We present the existence of entire large positive radial solutions for the non-monotonic system Δu=p(|x|)g(v), Δv=q(|x|)f(u) on Rn where n?3. The functions f and g satisfy a Keller-Osserman type condition while nonnegative functions p and q are required to satisfy the decay conditions  and  . Further, p and q are such that min(p,q) does not have compact support. |
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| Keywords: | Large solutions Semilinear elliptic systems |
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