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Research Report MRR00-016
Hessian Measures III
Neil S. Trudinger and Xu-Jia Wang
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.
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