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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.

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

Citations:

Zbl 0745.00023
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