×

zbMATH — the first resource for mathematics

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
PDF BibTeX XML Cite
Full Text: DOI