A necessary and sufficient condition for the existence of large solutions to sublinear elliptic systems |
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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, United States |
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| Abstract: | We prove that the elliptic system Δu=p(|x|)vα, Δv=q(|x|)uβ on Rn (n?3) where 0<α?1, 0<β?1, and p and q are nonnegative continuous functions has a nonnegative entire radial solution satisfying lim|x|→∞u(x)=lim|x|→∞v(x)=∞ if and only if the functions p and q satisfy |
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| Keywords: | Sublinear elliptic system Large solution Entire solution |
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