Title

A Globalization of the Implicit Function Theorem with Applications to Nonlinear Elliptic Equations

Document Type

Article

Department

Mathematics (HMC)

Publication Date

8-2001

Abstract

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.

Rights Information

© 2001 American Mathematical Society

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