In this paper we introduce a new type of symmetrization, which preserves the anisotropic perimeter of the level sets of a suitable concave smooth function, in order to prove sharp comparison results for solutions of a class of homogeneous Dirichlet fully nonlinear elliptic problems of second order and for suitable anisotropic Hessian integrals
Symmetrization with respect to the anisotropic perimeter and applications / DELLA PIETRA, Francesco; Gavitone, Nunzia. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - 363:(2015), pp. 953-971. [10.1007/s00208-015-1191-2]
Symmetrization with respect to the anisotropic perimeter and applications
Della Pietra Francesco
;Gavitone Nunzia
2015
Abstract
In this paper we introduce a new type of symmetrization, which preserves the anisotropic perimeter of the level sets of a suitable concave smooth function, in order to prove sharp comparison results for solutions of a class of homogeneous Dirichlet fully nonlinear elliptic problems of second order and for suitable anisotropic Hessian integralsFile in questo prodotto:
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