Solution branches of a semilinear elliptic problem at corank-2 bifurcation points with Neumann boundary conditions
Zhen Mei · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1993
Synopsis Solution branches of a semilinear elliptic problem with Neumann boundary conditions are studied at its corank-2 bifurcation points. It is shown that generally there are exactly four different nontrivial solution branches passing through a corank-2 bifurcation point. The bifurcating solution branches are parametrised via a nonsingular enlarged problem. Branch switching at bifurcation points is incorporated with a continuation method.