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Global bifurcation of positive solutions in some systems of elliptic equations. (English) Zbl 0613.35008
The authors study positive solutions of $-\Delta u=au-a_ 1u^ 2-a_ 2uv/(1+mu);\quad -\Delta v=bv-b_ 1v^ 2+b_ 2uv/(1+mu)$ with zero boundary data, a and b are treated as bifurcation parameters. They then discuss the ranges of a and b for which nontrivial solutions exist.
Reviewer: R.Sperb

##### MSC:
 35B32 Bifurcations in context of PDEs 35J65 Nonlinear boundary value problems for linear elliptic equations
##### Keywords:
positive solutions; bifurcation; nontrivial solutions
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