Structure and Dimension of Global Branches of Solutions to Multiparameter Nonlinear Equations
Structure and Dimension of Global Branches of Solutions to Multiparameter Nonlinear Equations
This paper is concerned with the topological dimension of global branches of solutions appearing in different problems of Nonlinear Analysis, in particular multiparameter (including infinite dimensional) continuation and bifurcation problems. By considering an extension of the notion of essential maps defined on sets and using elementary point set topology, we …