In this paper, using symmetrization techniques, we prove comparison results for solutions to Hessian equations with homogeneous Dirichlet boundary conditions. The rearrangements involved are those which preserve the so-called quermassintegrals of level sets of solutions and the main tools are the Aleksandrov-Fenchel inequalities. We also prove some kind of Moser inequalities related to Hessian integrals.
Comparison results for Hessian equations via symmetrization / Brandolini, Barbara; Trombetti, Cristina. - In: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. - ISSN 1435-9855. - STAMPA. - 9:(2007), pp. 561-575.
Comparison results for Hessian equations via symmetrization
BRANDOLINI, BARBARA;TROMBETTI, CRISTINA
2007
Abstract
In this paper, using symmetrization techniques, we prove comparison results for solutions to Hessian equations with homogeneous Dirichlet boundary conditions. The rearrangements involved are those which preserve the so-called quermassintegrals of level sets of solutions and the main tools are the Aleksandrov-Fenchel inequalities. We also prove some kind of Moser inequalities related to Hessian integrals.File in questo prodotto:
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