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Papers in preparation

  1. with R. Hardt, Rectifiable and flat G chains in metric spaces.
  2. Size minimizing surfaces with integral coefficients.
  3. with D. Pavlica, Approximating compact rectifiable sets in measure and in Hausdorff distance by polyhedral Lipschitzian images.

Papers submitted for publication

  1. with G. David and T. Toro, A generalization of Reifenberg's Theorem in R3.

Papers accepted for publication and published papers

  1. Concentrated, nearly monotonic, epiperimetric measures in Euclidean space, to appear in J. Diff. Geom. [Abstract]
  2. with W.F. Pfeffer, Distributions for which div v = F has a continuous solution, to appear in Comm. Pure Appl. Math. [Abstract]
  3. Comparing homologies: Cech's theory, singular chains, integral flat chains and integral currents, to appear in Rev. Mat. Iberoamericana. [Abstract]
  4. with W.F. Pfeffer, The divergence Theorem for unbounded vector fields, to appear in Trans. Amer. Math. Soc. [Abstract]
  5. Autour du théorème de la divergence, Panoramas et Synthèses, 18, 2004. 85-121. [Abstract]
  6. with W.F. Pfeffer, The Gauss-Green theorem and removable sets for the 2nd order PDE's in divergence form, Adv. Math., 183(1), 2004. 155-182. [Abstract]
  7. with R. Hardt, Applications of Scans and Fractional Power Integrands, in Variational Problems in Riemannian Geometry, P. Baird et al. editors, Birkhauser, Progr. Nonlinear Differential Equations Appl., 59, 2004. 19-31. [Abstract]
  8. On the exceptional sets of the flux of a bounded vectorfield, J. Math. Pures Appl., 82(9), 2003. 1191-1217. [Abstract]
  9. with R. Hardt, Size minimization and approximating problems, Calc. Var. Partial Differential Equations, 17(4), 2003. 405-442. [Abstract]
  10. Nearly flat almost monotone measures are big pieces of Lipschitz graphs, J. Geom. Anal., 12(1), 2002. 29-61. [Abstract]
  11. with P. Huovinen, Points of ε differentiability of Lipschitz functions Rn → Rn-1 , Bull. London Math. Soc., 34(5), 2002. 539-550. [Abstract]
  12. with Z. Buczolich and W.F. Pfeffer, Charges, BV functions and multipliers for generalized Riemann integrals, Indiana Univ. Math. J., 48(1), 1999. 1471-1511. [Abstract]
  13. with Z. Buczolich and W.F. Pfeffer, Multipliers for generalized Riemann integrals, C.R. Math. Acad. Sci. Soc. R. Can., 21(4), 1999. 139-145.
  14. Some geometric problems from the calculus of variation, Mémoire de l'Académie royale de Belgique, 1998.
  15. with D. Smets, On explicit solutions for the problem of Mumford and Shah, Comm. Contemp. Math., 1(2), 1999. 201-212. [Abstract]
  16. Multipliers for one-dimensional non absolutely convergent integrals, Atti Sem. Mat. Fis. Univ. Modena, XLVII, 1999. 327-335. [Abstract]
  17. with V. Beiu and S. Draghici, A constructive approach to calculating lower entropy bounds, Neural Processing Letters, 9, 1999. 1-12. [Abstract]
  18. On SBV dual, Indiana Univ. Math. J., 47(1), 1998. 99-121. [Abstract]
  19. Topologies for the space of BV integrable functions in Rn, J. Funct. Anal., 144(1), 1997. 190-231. [Abstract]
  20. A concept of generalized absolute continuity for the F integral, Real Anal. Exch., 22(1), 1996-97. 350-361. [Abstract]

Unpublished notes

  1. Proof of Reifenberg's topological disc Theorem in Hilbert space.
  2. A note on Cartesian products and Fubini's Theorem.
  3. Sur la dérivée de fonctions lipschitziennes d'une variable.