This paper is concerned with the problem of estimating the dimension, expected to be N - 2, of the singular set of a minimizer of a functional with free discontinuities in N dimensions. The best result already known, namely the (N - 1)-negligibility, is improved here.
Regularity properties of free discontinuity sets / Maddalena, F.; Solimini, S.. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - STAMPA. - 18:6(2001), pp. 675-685. [10.1016/S0294-1449(01)00078-6]
Regularity properties of free discontinuity sets
Maddalena, F.;Solimini, S.
2001-01-01
Abstract
This paper is concerned with the problem of estimating the dimension, expected to be N - 2, of the singular set of a minimizer of a functional with free discontinuities in N dimensions. The best result already known, namely the (N - 1)-negligibility, is improved here.File in questo prodotto:
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