Existence of entire positive solutions for a class of semilinear elliptic systems
Under simple conditions on $f_i$ and $g_i$, we show the existence of entire positive radial solutions for the semilinear elliptic system $$displaylines{ Delta u =p(|x|)f_1(v)f_2(u)cr Delta v =q(|x|)g_1(v)g_2(u), }$$ where $xin mathbb{R}^N$, $Ngeq 3$, and p,q are continuous functions.
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| Format: | Article |
| Language: | English |
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Texas State University
2010-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/16/abstr.html |