Böhmer, Klaus; Mei, Zhen Mode interactions of an elliptic system on the square. (English) Zbl 0769.35007 Bifurcation and symmetry. Cross influence between mathematics and applications, Proc. Workshop, Marburg/Ger. 1991, ISNM 104, 49-58 (1992). Summary: [For the entire collection see Zbl 0745.00023.]Mode interactions of a semilinear system of second order elliptic differential equations are discussed at the intersection points of two curves of bifurcation points, using a modified Lyapunov-Schmidt method and symmetries. Cited in 4 Documents MSC: 35B32 Bifurcations in context of PDEs 35J65 Nonlinear boundary value problems for linear elliptic equations 92D25 Population dynamics (general) 58E09 Group-invariant bifurcation theory in infinite-dimensional spaces Keywords:steady state of reaction diffusion equation; modified Lyapunov-Schmidt method; symmetries Citations:Zbl 0745.00023 PDFBibTeX XMLCite \textit{K. Böhmer} and \textit{Z. Mei}, in: Bifurcation and symmetry. Cross influence between mathematics and applications. Proceedings of a workshop, held Marburg, Germany, June, 2- 14, 1991. Basel etc.: Birkhäuser Verlag. 49--58 (1992; Zbl 0769.35007)