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All Stories

  1. Symmetrised fractional variation with L1 fidelity for signal denoising via Grünwald-Letnikov scheme

    Article • Applied Mathematics and Computation, September 2025, Elsevier

    Professor Antonio Leaci

  2. Symmetrized fractional total variation for signal and image analysis

    Article • Advances in Continuous and Discrete Models, March 2023, Springer Science + Business Media

    Franco Tomarelli, Professor Antonio Leaci

  3. Riemann–Liouville Fractional Sobolev and Bounded Variation Spaces

    Article • Axioms, January 2022, MDPI AG

    Professor Antonio Leaci, Franco Tomarelli

  4. Fractional sobolev spaces and functions of bounded variation of one variable

    Article • Fractional Calculus and Applied Analysis, January 2017, De Gruyter

    Franco Tomarelli, Professor Antonio Leaci, Maïtine Bergounioux

  5. Corrigendum to “A candidate local minimizer of Blake and Zisserman functional” [J. Math. Pures Appl. 96 (1) (2011) 58–87]

    Article • Journal de Mathématiques Pures et Appliquées, November 2015, Elsevier

    Franco Tomarelli, Professor Antonio Leaci

  6. A Survey on the Blake–Zisserman Functional

    Article • Milan Journal of Mathematics, September 2015, Springer Science + Business Media

    Franco Tomarelli, Professor Antonio Leaci

  7. Image inpainting via variational approximation of a Dirichlet problem with free discontinuity

    Article • Advances in Calculus of Variations, January 2014, De Gruyter

    Franco Tomarelli, Professor Antonio Leaci

  8. Free gradient discontinuity and image inpainting

    Article • Journal of Mathematical Sciences, March 2012, Springer Science + Business Media

    Franco Tomarelli, Professor Antonio Leaci

  9. Uniform density estimates for Blake & Zisserman functional

    Article • Discrete and Continuous Dynamical Systems, September 2011, American Institute of Mathematical Sciences (AIMS)

    Franco Tomarelli, Professor Antonio Leaci

  10. A candidate local minimizer of Blake and Zisserman functional

    Article • Journal de Mathématiques Pures et Appliquées, July 2011, Elsevier

    Franco Tomarelli, Professor Antonio Leaci

  11. Euler equations for Blake and Zisserman functional

    Article • Calculus of Variations and Partial Differential Equations, November 2007, Springer Science + Business Media

    Franco Tomarelli, Professor Antonio Leaci

  12. Calculus of variations and image segmentation

    Article • Journal of Physiology-Paris, March 2003, Elsevier

    Franco Tomarelli, Professor Antonio Leaci

  13. Local Minimizers for a Free Gradient Discontinuity Problem in Image Segmentation

    Article • January 2002, Springer Science + Business Media

    Franco Tomarelli, Professor Antonio Leaci

  14. Necessary conditions for extremals of Blake & Zisserman functional

    Article • Comptes Rendus Mathématique, January 2002, Elsevier

    Franco Tomarelli, Professor Antonio Leaci

  15. Density Estimates and Further Properties of Blake Zisserman Functional

    Article • January 2001, Springer Science + Business Media

    Franco Tomarelli, Professor Antonio Leaci

  16. A Second Order Model in Image Segmentation: Blake & Zisserman Functional

    Article • January 1996, Springer Science + Business Media

    Franco Tomarelli, Professor Antonio Leaci

  17. Strong solution for an elastic-plastic plate

    Article • Calculus of Variations and Partial Differential Equations, May 1994, Springer Science + Business Media

    Franco Tomarelli, Professor Antonio Leaci

  18. Free discontinuity problems with unbounded data: The two dimensional case

    Article • manuscripta mathematica, December 1992, Springer Science + Business Media

    Professor Antonio Leaci

  19. Existence theorem for a Dirichlet problem with free discontinuity set

    Article • Nonlinear Analysis, January 1990, Elsevier

    Professor Antonio Leaci

  20. Existence theorem for a minimum problem with free discontinuity set

    Article • Archive for Rational Mechanics and Analysis, November 1989, Springer Science + Business Media

    Professor Antonio Leaci

  21. Esistenza e molteplicità per gli autovalori non lineari dell’operatore −Δ−g rispetto a due ostacoli

    Article • ANNALI DELL UNIVERSITA DI FERRARA, January 1989, Springer Science + Business Media

    Professor Antonio Leaci

  22. Limits of Obstacle Problems for the Area Functional

    Article • January 1989, Springer Science + Business Media

    Professor Antonio Leaci

  23. On the semicontinuity and the relaxation for integrals with respect to the lebesgue measure added to integrals with respect to a Radon measure

    Article • Annali di Matematica Pura ed Applicata (1923 -), December 1987, Springer Science + Business Media

    Professor Antonio Leaci

  24. Relaxation results for a class of variational integrals

    Article • Journal of Functional Analysis, May 1985, Elsevier

    Professor Antonio Leaci

  25. A continuity theorem for operators from W1,q(Ω) into Lr(Ω)

    Article • Journal of Functional Analysis, September 1984, Elsevier

    Professor Antonio Leaci

  26. Convergenza per l'equazione degli integrali primi associata al problema del rimbalzo elastico unidimensionale

    Article • Annali di Matematica Pura ed Applicata (1923 -), December 1983, Springer Science + Business Media

    Professor Antonio Leaci

  27. Generalized variational solutions of the cauchy problem for hamilton — jacobi equations

    Article • Communications in Partial Differential Equations, January 1981, Taylor & Francis

    Professor Antonio Leaci