Regularity results for anisotropic image segmentation models

Irene Fonseca; Nicola Fusco

Displaying similar documents to “Regularity results for anisotropic image segmentation models”

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E. Acerbi, N. Fusco (1989)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Regularity results for a class of quasiconvex functionals with nonstandard growth

Emilio Acerbi, Giuseppe Mingione (2001)

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Regularity of minimizers for a class of membrane energies

Emilio Acerbi, Irene Fonseca, Nicola Fusco (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Hölder continuity results for a class of functionals with non-standard growth

Michela Eleuteri (2004)

Bollettino dell'Unione Matematica Italiana

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We prove regularity results for real valued minimizers of the integral functional $\int f (x, u, D u)$ under non-standard growth conditions of $p (x)$ -type, i.e. $L^{- 1} {|z|}^{p (x)} \leq f (x, s, z) \leq L (1 + {|z|}^{p (x)})$ under sharp assumptions on the continuous function $p (x) > 1$ .

Strong minimizers of Blake & Zisserman functional

Michele Carriero, Antonio Leaci, Franco Tomarelli (1997)

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Regularity for minimizers of functionals with variable growth and discontinuous coefficients

Xia Zhang, Yan Huo, Yongqiang Fu (2014)

Annales Polonici Mathematici

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Based on the theory of variable exponent spaces, we study the regularity of local minimizers for a class of functionals with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain local Hölder continuity of minimizers.