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Research Report MRR96-034
On new isoperimetric inequalities and symmetrization
Neil S. Trudinger
Abstract:
Using recent isoperimetric inequalities for quermassintegrals on
domains that are not necessarily convex, we develop a theory of
symmetrization, extending the well known Schwartz spherical
symmetrization. As applications, we derive sharp estimates for
Hessian equations and Hessian integrals.
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