A Globalization of the Implicit Function Theorem with Applications to Nonlinear Elliptic Equations
In this paper we introduce some basic concepts from nonlinear analysis through a discussion of a well-known degree theoretic globalization of the Implicit Function Theorem. Applications to the Liouville-Gelfand problem and a related problem for k-Hessian operators are considered.
© 2001 American Mathematical Society
J. Jacobsen, A Globalization of the Implicit Function Theorem with Applications to Nonlinear Elliptic Equations, Contemporary Mathematics, retrieved from http://www.math.psu.edu/ccma/Reports/Publications/Publications2001/Info_files/AM235.html