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Publikationsliste von Thomas Schmidt

Artikel in Fachzeitschriften (mit Links zu Abstracts und Preprint-Versionen):

  1. Higher integrability for the gradient of Mumford-Shah almost-minimizers (mit Koautor S. Piontek).
    ESAIM, Control Optim. Calc. Var. 26, 6, 20 S. (2020).
  2. On the dual formulation of obstacle problems for the total variation and the area functional (mit Koautor C. Scheven).
    Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, 1175-1207 (2018).
  3. BV supersolutions to equations of 1-Laplace and minimal surface type (mit Koautor C. Scheven).
    J. Differ. Equations 261, 1904-1932 (2016).
  4. Interior gradient regularity for BV minimizers of singular variational problems (mit Koautorin L. Beck).
    Nonlinear Anal., Theory Methods Appl. 120, 86-106 (2015).
  5. Strict interior approximation of sets of finite perimeter and functions of bounded variation.
    Proc. Am. Math. Soc. 143, 2069-2084 (2015).
  6. Convex duality and uniqueness for BV-minimizers (mit Koautorin L. Beck).
    J. Funct. Anal. 268, 3061-3107 (2015).
  7. Partial regularity for mass-minimizing currents in Hilbert spaces (mit Koautoren L. Ambrosio, C. De Lellis).
    J. Reine Angew. Math. 734, 99-144 (2018).
  8. Partial regularity for degenerate variational problems and image restoration models in BV.
    Indiana Univ. Math. J. 63, 213-279 (2014).
  9. W2,1+ε estimates for the Monge-Ampère equation.
    Adv. Math. 240, 672-689 (2013).
  10. Compactness results for normal currents and the Plateau problem in dual Banach spaces (mit Koautor L. Ambrosio).
    Proc. Lond. Math. Soc. (3) 106, 1121-1142 (2013).
  11. On the Dirichlet problem for variational integrals in BV (mit Koautorin L. Beck).
    J. Reine Angew. Math. 674, 113-194 (2013).
  12. Local and asymptotic regularity results for quasiconvex and quasimonotone problems (mit Koautorinnen M. Carozza, A. Passarelli di Napoli, A. Verde).
    Q. J. Math. 63, 325-352 (2012).
  13. Asymptotically regular problems II: Partial Lipschitz continuity and a singular set of positive measure (mit Koautor C. Scheven).
    Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) VIII, 469-507 (2009).
  14. Asymptotically regular problems I: Higher integrability (mit Koautor C. Scheven).
    J. Differ. Equations 248, 745-791 (2010).
  15. A simple partial regularity proof for minimizers of variational integrals.
    NoDEA, Nonlinear Differ. Equ. Appl. 16, 109-129 (2009).
  16. Partial regularity of strong local minimizers of quasiconvex integrals with (p,q)-growth (mit Koautorin S. Schemm).
    Proc. R. Soc. Edinb., Sect. A, Math. 139, 595-621 (2009).
  17. Regularity theorems for degenerate quasiconvex energies with (p,q)-growth.
    Adv. Calc. Var. 1, 241-270 (2008).
  18. Regularity of relaxed minimizers of quasiconvex variational integrals with (p,q)-growth.
    Arch. Ration. Mech. Anal. 193, 311-337 (2009).
  19. Regularity of minimizers of W1,p-quasiconvex variational integrals with (p,q)-growth.
    Calc. Var. Partial Differ. Equ. 32, 1-24 (2008).

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