Title

Global Bifurcation Problems Associated With k-Hessian Operators

Document Type

Article

Department

Mathematics (HMC)

Publication Date

1999

Abstract

In this paper we study global bifurcation phenomena for a class of nonlinear elliptic equations governed by the h-Hessian operator. The bifurcation phenomena considered provide new methods for establishing existence results concerning fully nonlinear elliptic equations. Applications to the theory of critical exponents and the geometry of k-convex functions are considered. In addition, a related problem of Liouville–Gelfand type is analyzed.

Rights Information

© 1999 Topological Methods in Nonlinear Analysis

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