T. Schmidt:
Regularity theorems for degenerate quasiconvex energies with $(p,q)$-growth
Adv. Calc. Var. Vol. 1, N. 3, p. 241-270, 2008

T. Schmidt:
Regularity of minimizers of $W^{1,p}$-quasiconvex variational integrals with $(p,q)$-growth
Calc. Var. Partial Differ. Equ. Vol. 32, N. 1, p. 1-24, 2008

S. Schemm, T. Schmidt:
Partial regularity of strong local minimizers of quasiconvex integrals with $(p,q)$-growth
Proc. R. Soc. Edinb., Sect. A, Math. Vol. 139, N. 3, p. 595-621, 2009

C. Scheven, T. Schmidt:
Asymptotically regular problems II: Partial Lipschitz continuity and a singular set of positive measure
Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) Vol. 8, N. 3, p. 469-507, 2009

T. Schmidt:
A simple partial regularity proof for minimizers of variational integrals
NoDEA, Nonlinear Differ. Equ. Appl. Vol. 16, N. 1, p. 109-129, 2009

T. Schmidt:
Regularity of relaxed minimizers of quasiconvex variational integrals with $(p,q)$-growth
Arch. Ration. Mech. Anal. Vol. 193, N. 2, p. 311-337, 2009

C. Scheven, T. Schmidt:
Asymptotically regular problems I: Higher integrability
J. Differ. Equations Vol. 248, N. 4, p. 745-791, 2010

M. Carozza, A. Passarelli di Napoli, T. Schmidt, A. Verde:
Local and asymptotic regularity results for quasiconvex and quasimonotone problems
Q. J. Math. Vol. 63, N. 2, p. 325-352, 2012

T. Schmidt:
${\rm W}^{2,1+\varepsilon}$ estimates for the Monge-Ampère equation
Adv. Math. Vol. 240, p. 672-689, 2013

L. Ambrosio, T. Schmidt:
Compactness results for normal currents and the Plateau problem in dual Banach spaces
Proc. Lond. Math. Soc. (3) Vol. 106, N. 5, p. 1121-1142, 2013

L. Beck, T. Schmidt:
On the Dirichlet problem for variational integrals in $BV$
J. Reine Angew. Math. Vol. 674, p. 113-194, 2013

T. Schmidt:
Partial regularity for degenerate variational problems and image restoration models in $\rm BV$
Indiana Univ. Math. J. Vol. 63, N. 1, p. 213-279, 2014

L. Beck, T. Schmidt:
Interior gradient regularity for $\rm BV$ minimizers of singular variational problems
Nonlinear Anal., Theory Methods Appl. Vol. 120, p. 86-106, 2015

T. Schmidt:
Strict interior approximation of sets of finite perimeter and functions of bounded variation
Proc. Am. Math. Soc. Vol. 143, N. 5, p. 2069-2084, 2015

L. Beck, T. Schmidt:
Convex duality and uniqueness for $\rm BV$-minimizers
J. Funct. Anal. Vol. 268, N. 10, p. 3061-3107, 2015

C. Scheven, T. Schmidt:
An Anzellotti type pairing for divergence-measure fields and a notion of  weakly super-$1$-harmonic functions
(Preprint) 2015

T. Schmidt:
$\rm BV$ Minimizers of Variational Integrals: Existence, Uniqueness, Regularity
(Habilitation Thesis) 2015

C. Scheven, T. Schmidt:
BV supersolutions to equations of 1-Laplace and minimal surface type
J. Differ. Equations Vol. 261, N. 3, p. 1904-1932, 2016

L. Ambrosio, C. De Lellis, T. Schmidt:
Partial regularity for mass-minimizing currents in Hilbert spaces
J. Reine Angew. Math. Vol. 734, p. 99-144, 2018

C. Scheven, T. Schmidt:
On the dual formulation of obstacle problems for the total variation and the area functional
Ann. Inst. Henri Poincaré, Anal. Non Linéaire Vol. 35, p. 1175-1207, 2018

S. Piontek, T. Schmidt:
Higher integrability for the gradient of Mumford-Shah almost-minimizers
ESAIM, Control Optim. Calc. Var. Vol. 20, 2020

T. Schmidt, J. H. Schütt:
The optimal Hölder exponent in Massaris regularity theorem
Calc. Var. Partial Differ. Equ. Vol. 62, 2023

T. Schmidt:
Isoperimetric conditions, lower semicontinuity, and existence results
  for perimeter functionals with measure data
(Submitted Paper) 2023

E. Ficola, T. Schmidt:
Lower semicontinuity and existence results for anisotropic TV functionals with signed measure data
(Submitted Paper) 2024