PUBLICATIONS

I.

MONOGRAPH
[1] Convex variational problems. Linear, nearly linear and anisotropic growth conditions. Springer Lecture Notes in Mathematics 1818, June 2003.

II.

JOURNAL PAPERS (published/in press)
[2] On the Hausdorff dimension of n x m concentration sets. Asymptotic Analysis 11, 169-184 (1995). Abstract
[3] On the free boundary of surfaces with bounded mean curvature: the non-perpendicular case. Manus. Math. 97, 389-406 (1998). PDF-File
[4] (with M. Fuchs) Regularity for dual solutions and for weak cluster points of minimizing sequences of variational problems with linear growth. Zap. Nauchn. Sem. St.-Petersburg Odtel. Math. Inst. Steklov (POMI) 259, 46-66 (1999) -- J. Math. Sci. 109 (5), 1835--1850 (2002). PS-File
[5] (with M. Fuchs) Obstacle problems with linear growth: Hölder regularity for the dual solution. Math. Nach. 232, 5-27 (2001). PDF-File
[6] A uniqueness theorem for the dual problem associated to a variational problem with linear growth. Zap. Nauchn. Sem. St.-Petersburg Odtel. Math. Inst. Steklov (POMI) 271, 83-91 (2000). PS-File
[7] (with M. Fuchs, G. Seregin) Local regularity of solutions of variational problems for the equilibrium configuration of an incompressible, multiphase elastic body. Nonlinear Diff. Equ. Appl. 8, 53-81 (2001). PDF-File
[8] A remark on isolated singularities of surfaces with bounded mean curvature: the non-minimizing and non-perpendicular case. Archiv der Mathematik 75 no.2, 153-160 (2000). PDF-File
[9] (with M. Fuchs) Higher order variational inequalities with non-standard growth conditions in dimension two: plates with obstacles. Ann. Acad. Sci. Fenn. Math. 26, 509-518 (2001). PDF-File
[10] (with M. Fuchs) Partial regularity for variational integrals with (s,m,q)-growth. Calc. Variations 13, 537-560 (2001). PDF-File
[11] (with M. Fuchs, V. Osmolovskii) The effect of a surface energy term on the distribution of phases in an elastic medium with a two-well potential. Math. Meth. Appl. Sciences 25, 149-178 (2002). PDF-File
[12] A note on degenerate variational problems with linear growth. Z. Anal. Anw. 20, 589-598 (2001). Abstract
[13] (with M. Fuchs, V. Osmolovskii) The effect of a penalty term involving higher order derivatives on the distribution of phases in an elastic medium with a two-well potential. Math. Meth. Appl. Sciences 25, 289-308 (2002). PDF-File
[14] (with M. Fuchs, G. Mingione) A priori gradient bounds and local C1,a-estimates for (double) obstacle problems under nonstandard growth conditions. Z. Anal. Anw. 20, 959-985 (2001). Abstract
[15] (with M. Fuchs) Twodimensional anisotropic variational problems. Calc. Variations 16, 177-186 (2003). PDF-File
[16] (with M. Fuchs) Relaxation of convex variational problems with linear growth defined on classes of vector-valued functions. Algebra i Analiz 14 , 26-45 (2002). Abstract
[17] A priori gradient estimates for bounded generalized solutions of a class of variational problems with linear growth. J. Convex Anal. 9 , 117-137 (2002). Abstract
[18] (with M. Fuchs) Elliptic variational problems with nonstandard growth. Inter. Math. Ser., Vol.1, Nonlinear problems in mathematical physics and related topics I, in honor of Prof. O.A.Ladyzhenskaya. By Tamara Rozhkovskaya, Novosibirsk, March 2002 (in Russian), 49-63. English edition: Kluwer/Plenum Publishers, June 2002, 53-66.
[19] (with M. Fuchs) On a class of variational integrals with linear growth satisfying the condition of m-ellipticity. Rendiconti di Matematica e delle sue applicazioni 22, 249-274 (2002).
[20] (with M. Fuchs) Partial regularity for a class of anisotropic variational integrals with convex hull property. Asymptotic Analysis 32, 293-315 (2002). PDF-File
[21] (with M. Fuchs) Convex variational problems with linear growth. Geometric analysis and nonlinear partial differential equations. By S. Hildebrandt and H. Karcher, Springer, Berlin-Heidelberg-New York, 327-344 (2003).
[22] (with M. Fuchs) Interior regularity for free and constrained local minimizers of variational integrals under general growth and ellipticity conditions.
Zap. Nauchn. Sem. St.-Petersburg Odtel. Math. Inst. Steklov (POMI) 288, 79--99 (2002).
PS-File
[23] (with M. Fuchs) Variants of the Stokes problem: the case of anisotropic potentials.. J. Math. Fluid Mech.5, 364-402 (2003). PDF-File
[24] Twodimensional variational problems with linear growth. Manus. Math. 110, 325-342 (2003). PDF-File
[25] (with M. Fuchs) A regularity result for stationary electrorheological fluids in two dimensions. Math. Meth. Appl. Sciences. 27, 1607-1617 (2004).
[26] (with D. Apushkinskaya, M. Fuchs) Steady states of anisotropic generalized Newtonian fluids. J. Math. Fluid Mech. 7, 261-297 (2005).
[27] (with M. Fuchs) Regularization of variational problems with applications to generalized Newtonian fluids. Archiv der Mathematik 84, 155-170 (2005).
[28] (with M. Fuchs, X. Zhong) A lemma on the higher integrability of functions with applications to the regularity theory of two-dimensional generalized Newtonian fluids. Manus. Math. 116, 135-156 (2005).
[29] (with M. Fuchs) C1,a-solutions to non-autonomous anisotropic variational problems. Calc. Var. 24, 309-340 (2005).
[30] (with M. Fuchs) Higher-order variational problems on two-dimensional domains. To appear in Ann. Acad. Sci. Fenn. Math.
[31] (with M. Fuchs, X. Zhong) On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids. To appear in Algebra i Analiz.
[32] (with S. Repin) Estimates of the deviation from the minimizer for variational problems with power growth functionals. To appear in Zap. Nauchn. Sem. St.-Petersburg Odtel. Math. Inst. Steklov (POMI).

III.

SUBMITTED
[33] (with M. Fuchs, X. Zhong) Variational integrals with a wide range of anisotropy.
[34] (with M. Fuchs, S. Repin) A posteriori error estimates for stationary slow flows of power-law fluids.
[35] (with M. Fuchs) A short remark on energy functionals related to nonlinear Hencky materials.
[36] (with M. Fuchs) Smoothness of weak solutions of the Ramberg/Osgood equations on plane domains.
[37] (with M. Fuchs) Continuity properties of the stress tensor in the 3-dimensional Ramberg/Osgood model.

IV.

PREPRINTS
(a) Preprint SFB 256, Universität Bonn: [2], [4], [5], [9]-[11], [13]-[16], [19]-[20].
(b) Preprint Max-Planck-Institut für Mathematik in den Naturwissenschaften Leipzig: [7].
(c) Preprint University of Parma: [14].
(d) Preprint Universität des Saarlandes: [10]---.

V.

(a) Diploma thesis (U-Bonn, December 1990). Auswirkungen von Oszillationen und Konzentrationen auf den Grenzwert schwacher Lösungsfolgen der inkompressiblen Eulerschen Gleichungen.
(b) PhD thesis (U-Saarbrücken, June 1997). Regularitätsaussagen für Flächen beschränkter mittlerer Krümmung, die ihre Stützfläche nicht orthogonal schneiden.
(c) Habilitations thesis (U-Saarbrücken, December 2001). Convex variational problems with linear, nearly linear and/or anisotropic growth conditions.