Proves an abstract minimax bifurcation formula for detecting and characterizing weak saddle-node bifurcation points in nonlinear equations, with Galerkin approximations and applications to non-variational elliptic systems.
Kato, Perturbation Theory for Linear Operators, Springer, Berlin, 1995
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On the Minimax Bifurcation Formula
Proves an abstract minimax bifurcation formula for detecting and characterizing weak saddle-node bifurcation points in nonlinear equations, with Galerkin approximations and applications to non-variational elliptic systems.