Hessian Measures III

Date

2002

Authors

Trudinger, Neil
Wang, Xu-Jia

Journal Title

Journal ISSN

Volume Title

Publisher

Academic Press

Abstract

In this paper, we continue previous investigations into the theory of Hessian measures. We extend our weak continuity result to the case of mixed k-Hessian measures associated with k-tuples of k-convex functions, on domains in Euclidean n-space, k = 1, 2,⋯,n. Applications are given to capacity, quasicontinuity, and the Dirichlet problem, with inhomogeneous terms, continuous with respect to capacity or combinations of Dirac measures.

Description

Keywords

Keywords: Dirichlet problem; Hessian capacities; Hessian measures; Weak convergence

Citation

Source

Journal of Functional Analysis

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1006/jfan.2001.3925

Restricted until

2037-12-31