Abstract
The continuation method, initiated by H.Poincaré, then systematically developped in the context of the degree theory by Kronecker and Brouwer, Leray and Schauder ij consists of imbedding the problem in a parametrized family of problems and consider its solvability as the parameter varies. The homotopy invariance is a decisive property of the topological degree of mappings.
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Dedicated to Ennio De Giorgi on his sixtieth birthday
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Attouch, H., Riahi, H. (1989). The Epi-Continuation Method for Minimization Problems. Relation with the Degree Theory of F. Browder for Maximal Monotone Operators. In: Colombini, F., Marino, A., Modica, L., Spagnolo, S. (eds) Partial Differential Equations and the Calculus of Variations. Progress in Nonlinear Differential Equations and Their Applications, vol 1. Birkhäuser Boston. https://doi.org/10.1007/978-1-4615-9828-2_3
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DOI: https://doi.org/10.1007/978-1-4615-9828-2_3
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