Existence of non-negative solutions for predator-prey elliptic systems with a sign-changing nonlinearity
By the method of monotone iteration and Schauder fixed point theorem, we prove the existence of non-negative solutions to the system $$displaylines{ -Delta u= lambda a(x) f(v)quad hbox{in }Omega,cr -Delta v= lambda b(x) g(u)quad hbox{in } Omega,cr u =v=0quad hbox{on }partial Omega, }$$ for $l...
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| Format: | Article |
| Language: | English |
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Texas State University
2011-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/153/abstr.html |