Existence of continuous positive solutions for some nonlinear polyharmonic systems outside the unit ball
We study the existence of continuous positive solutions of the m-polyharmonic nonlinear elliptic system $$displaylines{ (-Delta)^{m}u+lambda p(x)g(v)=0,cr (-Delta )^{m}v+mu q(x)f(u)=0 }$$ in the complement of the unit closed ball in $mathbb{R}^{n}$ (n>2m and $mgeq 1$). Here the constants $...
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| Format: | Article |
| Language: | English |
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Texas State University
2011-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/81/abstr.html |