Edit Profile (opens in new tab) Fuchs, Martin Co-Author Distance Author ID: fuchs.martin Published as: Fuchs, Martin; Fuchs, M. Homepage: http://www.math.uni-sb.de/ag/fuchs/Menupkte/Arbeitsgruppe/fuchs.html External Links: MGP · Math-Net.Ru Documents Indexed: 182 Publications since 1983, including 3 Books and 4 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 167 Reviews Co-Authors: 25 Co-Authors with 128 Joint Publications 591 Co-Co-Authors all top 5 Co-Authors 51 single-authored 74 Bildhauer, Michael 12 Duzaar, Frank 12 Seregin, Gregory A. 8 Müller, Jan-Steffen 8 Repin, Sergeĭ Igorevich 6 Zhong, Xiao 5 Tietz, Christian 4 Apushkinskaya, Darya E. 4 Li, Gongbao 4 Reuling, Jürgen 4 Weickert, Joachim 3 Osmolovskij, V. G. 3 Zhang, Guo 2 Breit, Dominic 2 Elfanni, Abdellah 2 Mingione, Giuseppe 1 Alber, Hans-Dieter 1 Cárdenas, Marcelo 1 Diening, Lars 1 Farquhar, Bernhard 1 Fusco, Nicola 1 Grotowski, Joseph F. 1 Martio, Olli 1 Mockett, Charles 1 Scheffler, Matthias 1 Schirra, Oliver D. 1 Thiele, Frank 1 Wiegner, Michael all top 5 Serials 25 Journal of Mathematical Sciences (New York) 14 Manuscripta Mathematica 10 Mathematical Methods in the Applied Sciences 8 Calculus of Variations and Partial Differential Equations 8 St. Petersburg Mathematical Journal 8 Journal of Mathematical Fluid Mechanics 7 Archiv der Mathematik 7 Commentationes Mathematicae Universitatis Carolinae 7 Zeitschrift für Analysis und ihre Anwendungen 5 Analysis 5 Asymptotic Analysis 5 Annales Academiae Scientiarum Fennicae. Mathematica 4 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematische Nachrichten 2 Journal of Mathematical Analysis and Applications 2 Mathematische Zeitschrift 2 Numerical Functional Analysis and Optimization 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Communications in Partial Differential Equations 2 Irish Mathematical Society Bulletin 2 Bollettino della Unione Matemàtica Italiana. Serie VII. A 2 Bollettino della Unione Matemàtica Italiana. Serie VII. B 2 Journal of Convex Analysis 2 Journal of Applied Analysis 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Elliptic and Parabolic Equations 1 Applicable Analysis 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Algebra i Analiz 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Non-Newtonian Fluid Mechanics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Acta Mathematica Scientia 1 Advances in Mathematical Sciences and Applications 1 Annales Universitatis Saraviensis. Series Mathematicae 1 NoDEA. Nonlinear Differential Equations and Applications 1 Abstract and Applied Analysis 1 Applied Mathematics E-Notes 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Complex Variables and Elliptic Equations 1 Bonner Mathematische Schriften 1 Lecture Notes in Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Annales Fennici Mathematici all top 5 Fields 123 Calculus of variations and optimal control; optimization (49-XX) 85 Partial differential equations (35-XX) 35 Mechanics of deformable solids (74-XX) 32 Fluid mechanics (76-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Information and communication theory, circuits (94-XX) 12 Differential geometry (53-XX) 8 Functional analysis (46-XX) 7 Real functions (26-XX) 7 Numerical analysis (65-XX) 7 Computer science (68-XX) 2 Potential theory (31-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 152 Publications have been cited 1,465 times in 671 Documents Cited by ▼ Year ▼ Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0964.76003 Fuchs, Martin; Seregin, Gregory 123 2000 Full \(C^{1,\alpha}\)-regularity for free and constrained local minimizers of elliptic variational integrals with nearly linear growth. Zbl 0995.49023 Fuchs, Martin; Mingione, Giuseppe 59 2000 \(C^{1,\alpha}\)-solutions to non-autonomous anisotropic variational problems. Zbl 1101.49029 Bildhauer, Michael; Fuchs, Martin 40 2005 A regularity theory for variational integrals with \(L\ln L\)-growth. Zbl 0929.49022 Fuchs, Martin; Seregin, Gregory 37 1998 Variational integrals on Orlicz-Sobolev spaces. Zbl 0913.49023 Fuchs, M.; Osmolovski, V. 33 1998 Partial regularity for variational integrals with \((s,\mu,q)\)-growth. Zbl 1018.49026 Bildhauer, Michael; Fuchs, Martin 32 2001 p-harmonic obstacle problems. I: Partial regularity theory. Zbl 0715.49003 Fuchs, Martin 29 1990 Solenoidal Lipschitz truncation and applications in fluid mechanics. Zbl 1245.35080 Breit, D.; Diening, L.; Fuchs, M. 28 2012 Variational inequalities for energy functionals with nonstandard growth conditions. Zbl 0987.49019 Fuchs, Martin; Li, Gongbao 28 1998 Steady states of anisotropic generalized Newtonian fluids. Zbl 1162.76375 Apushkinskaya, Darya; Bildhauer, Michael; Fuchs, Martin 26 2005 Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening. Zbl 0928.76087 Fuchs, Martin; Seregin, Gregory 25 1999 A lemma on the higher integrability of functions with applications to the regularity theory of two-dimensional generalized Newtonian fluids. Zbl 1116.49018 Bildhauer, Michael; Fuchs, Martin; Zhong, Xiao 24 2005 On removable singularities of p-harmonic maps. Zbl 0715.49040 Duzaar, F.; Fuchs, M. 23 1990 Hölder continuity of the gradient for degenerate variational inequalities. Zbl 0701.49019 Fuchs, Martin 22 1990 A variational approach to the denoising of images based on different variants of the TV-regularization. Zbl 1260.49074 Bildhauer, Michael; Fuchs, Martin 21 2012 A priori gradient bounds and local \(C^{1,\alpha}\)-estimates for (double) obstacle problems under non-standard growth conditions. Zbl 1011.49024 Bildhauer, M.; Fuchs, M.; Mingione, G. 21 2001 On a class of variational integrals with linear growth satisfying the condition of \(\mu\)-ellipticity. Zbl 1047.49029 Bildhauer, Michael; Fuchs, Martin 20 2002 The nonlinear Stokes problem with general potentials having superquadratic growth. Zbl 1270.35335 Breit, Dominic; Fuchs, Martin 20 2011 The Green matrix for strongly elliptic systems of second order with continuous coefficients. Zbl 0634.35023 Fuchs, M. 19 1986 Variants of the Stokes problem: the case of anisotropic potentials. Zbl 1072.76019 Bildhauer, Michael; Fuchs, Martin 19 2003 The blow-up of \(p\)-harmonic maps. Zbl 0794.58012 Fuchs, Martin 18 1993 Optimal regularity theorems for variational problems with obstacles. Zbl 0605.49006 Duzaar, F.; Fuchs, M. 17 1986 On some perturbations of the total variation image inpainting method. I: Regularity theory. Zbl 1321.49060 Bildhauer, M.; Fuchs, M. 16 2014 Local Lipschitz regularity of vector valued local minimizers of variational integrals with densities depending on the modulus of the gradient. Zbl 1211.49047 Fuchs, Martin 16 2011 Higher integrability of the gradient for vectorial minimizers of decomposable variational integrals. Zbl 1120.49031 Bildhauer, M.; Fuchs, M. 16 2007 Some remarks on the boundary regularity for minima of variational problems with obstacles. Zbl 0587.49011 Fuchs, Martin 15 1986 Variational inequalities for vector-valued functions with non-convex obstacles. Zbl 0589.35049 Fuchs, Martin 15 1985 Ab initio pseudopotentials for electronic structure calculations of poly-atomic systems using density-functional theory. Zbl 0998.81551 Fuchs, Martin; Scheffler, Matthias 15 1999 Partial regularity for a class of anisotropic variational integrals with convex hull property. Zbl 1076.49018 Bildhauer, M.; Fuchs, M. 15 2002 Liouville-type theorems for steady flows of degenerate power law fluids in the plane. Zbl 1273.76076 Bildhauer, Michael; Fuchs, Martin; Zhang, Guo 15 2013 On some perturbations of the total variation image inpainting method. II: Relaxation and dual variational formulation. Zbl 1321.49054 Bildhauer, M.; Fuchs, M. 14 2015 On the existence of integral currents with prescribed mean curvature vector. Zbl 0703.49035 Duzaar, Frank; Fuchs, Martin 14 1990 Stationary flows of shear thickening fluids in 2D. Zbl 1294.35097 Fuchs, Martin 14 2012 A regularity theory for scalar local minimizers of splitting-type variational integrals. Zbl 1150.49015 Bildhauer, Michael; Fuchs, Martin; Zhong, Xiao 14 2007 An application of a new coercive inequality to variational problems studied in general relativity and in Cosserat elasticity giving the smoothness of minimizers. Zbl 1180.49040 Fuchs, Martin; Schirra, Oliver 14 2009 Regularity results for the quasi-static Bingham variational inequality in dimensions two and three. Zbl 0899.76044 Fuchs, Martin; Seregin, Gregory 14 1998 On stationary incompressible Norton fluids and some extensions of Korn’s inequality. Zbl 0812.76007 Fuchs, Martin 14 1994 Variational problems with non-convex obstacles and an integral constraint for vector-valued functions. Zbl 0568.49009 Duzaar, Frank; Fuchs, Martin 13 1986 A regularity result for stationary electrorheological fluids in two dimensions. Zbl 1058.76073 Bildhauer, Michael; Fuchs, Martin 13 2004 Korn inequalities in Orlicz spaces. Zbl 1237.26013 Fuchs, Martin 13 2010 Regularity theorems for nonlinear systems of partial differential equations under natural ellipticity conditions. Zbl 0624.35032 Fuchs, Martin 12 1987 p-harmonic obstacle problems. III: Boundary regularity. Zbl 0715.49005 Fuchs, M. 12 1990 Hölder continuity for weak extremals of some two-dimensional variational problems related to nonlinear elasticity. Zbl 0929.49021 Fuchs, Martin; Seregin, Gregori 12 1997 A posteriori error estimates of functional type for variational problems related to generalized Newtonian fluids. Zbl 1105.76049 Fuchs, M.; Repin, S. 12 2006 Liouville theorems for stationary flows of shear thickening fluids in the plane. Zbl 1254.76055 Fuchs, Martin 12 2012 Non-linear elliptic systems involving measure data. Zbl 0838.35133 Fuchs, M.; Reuling, J. 12 1995 \(C^{1,\alpha}\)-interior regularity for minimizers of a class of variational problems with linear growth related to image inpainting. Zbl 1335.49058 Bildhauer, M.; Fuchs, M.; Tietz, C. 11 2016 Partial regularity results for vector valued functions which minimize certain functionals having non quadratic growth under smooth side conditions. Zbl 0642.49002 Fuchs, Martin; Fusco, Nicola 11 1988 Interior gradient bounds for local minimizers of variational integrals under nonstandard growth conditions. Zbl 1357.49010 Apushkinskaya, D.; Bildhauer, M.; Fuchs, M. 11 2010 Partial regularity for certain classes of polyconvex functionals related to nonlinear elasticity. Zbl 0827.73009 Fuchs, Martin; Reuling, Jürgen 11 1995 Twodimensional anisotropic variational problems. Zbl 1026.49027 Bildhauer, M.; Fuchs, M. 11 2003 Relaxation of convex variational problems with linear growth defined on classes of vector-valued functions. Zbl 1029.49013 Bildhauer, M.; Fuchs, M. 11 2003 Existence of generalized minimizers and dual solutions for a class of variational problems with linear growth related to image recovery. Zbl 1331.49014 Fuchs, M.; Tietz, C. 10 2015 p-harmonic obstacle problems. II: Extensions of maps and applications. Zbl 0715.49004 Fuchs, Martin 10 1989 Topics in the calculus of variations. Zbl 0834.49019 Fuchs, Martin 10 1994 Liouville theorems for entire local minimizers of energies defined on the class \(L \log L\) and for entire solutions of the stationary Prandtl-Eyring fluid model. Zbl 1252.49075 Fuchs, Martin; Zhang, Guo 10 2012 Differentiability and higher integrability results for local minimizers of splitting-type variational integrals in 2D with applications to nonlinear Hencky-materials. Zbl 1189.49057 Bildhauer, Michael; Fuchs, Martin 10 2010 Some remarks on non-Newtonian fluids including nonconvex perturbations of the Bingham and Powell-Eyring model for viscoplastic fluids. Zbl 0882.76007 Fuchs, Martin; Seregin, Gregory 10 1997 Some regularity theorems for mappings which are stationary points of the p-energy functional. Zbl 0683.49014 Fuchs, Martin 9 1989 On variational models for quasi-static Bingham fluids. Zbl 0857.76006 Fuchs, Martin; Grotowski, Joseph F.; Reuling, Jürgen 9 1996 On quasi-static non-Newtonian fluids with power-law. Zbl 0858.76006 Fuchs, Martin 9 1996 A note on a Liouville type result of Gilbarg and Weinberger for the stationary Navier-Stokes equations in 2D. Zbl 1291.35218 Fuchs, M.; Zhong, X. 9 2011 A note on non-uniformly elliptic Stokes-type systems in two variables. Zbl 1195.76148 Fuchs, Martin 9 2010 Variational integrals of splitting-type: higher integrability under general growth conditions. Zbl 1181.49035 Bildhauer, M.; Fuchs, M. 9 2009 On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids. Zbl 1129.35061 Bildhauer, M.; Fuchs, M.; Zhong, X. 9 2007 A regularity theorem for energy minimizing maps of Riemannian manifolds. Zbl 0619.58019 Fuchs, Martin 8 1987 A general existence theorem for integral currents with prescribed mean curvature form. Zbl 0786.49025 Duzaar, Frank; Fuchs, Martin 8 1992 The Green-matrix for elliptic systems which satisfy the Legendre-Hadamard condition. Zbl 0552.35025 Fuchs, Martin 8 1984 Regularity for dual solutions and for weak cluster points of minimizing sequences of variational problems with linear growth. Zbl 0977.49025 Bildhauer, M.; Fuchs, M. 8 1999 Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0827.73010 Fuchs, M.; Seregin, G. 8 1994 Existence and regularity of functions which minimize certain energies in homotopy classes of mappings. Zbl 0771.49016 Duzaar, Frank; Fuchs, Martin 7 1991 Signal recovery via TV-type energies. Zbl 1392.49003 Fuchs, M.; Müller, J.; Tietz, C. 7 2018 A higher order TV-type variational problem related to the denoising and inpainting of images. Zbl 1358.49043 Fuchs, Martin; Müller, Jan 7 2017 Partial regularity for local minimizers of splitting-type variational integrals. Zbl 1141.49032 Bildhauer, M.; Fuchs, M. 7 2007 On integral currents with constant mean curvature. Zbl 0739.49026 Duzaar, Frank; Fuchs, Martin 6 1991 Einige Bemerkungen über die Regularität von stationären Punkten gewisser geometrischer Variationsintegrale. (Some remarks on the regularity of stationary points of certain geometrical variational integrals). Zbl 0758.35017 Duzaar, Frank; Fuchs, Martin 6 1991 Regularity for a class of variational integrals motivated by nonlinear elasticity. Zbl 0809.49010 Fuchs, Martin 6 1994 Denoising and inpainting of images using TV-type energies: theoretical and computational aspects. Zbl 1381.94011 Bildhauer, M.; Fuchs, M.; Weickert, J. 6 2016 Lipschitz regularity for certain problems from relaxation. Zbl 0883.49028 Fuchs, Martin 6 1996 A geometric maximum principle for variational problems in spaces of vector-valued functions of bounded variation. Zbl 1319.49074 Bildhauer, Michael; Fuchs, Martin 5 2011 Generalizations of Korn’s inequality based on gradient estimates in Orlicz spaces and applications to variational problems in 2D involving the trace free part of the symmetric gradient. Zbl 1286.49042 Fuchs, M. 5 2010 A posteriori error estimates for stationary slow flows of power-law fluids. Zbl 1109.76007 Bildhauer, M.; Fuchs, M.; Repin, S. 5 2007 A posteriori error estimates for the approximations of the stresses in the Hencky plasticity problem. Zbl 1419.74076 Fuchs, M.; Repin, S. 5 2011 Estimates of the deviations from the exact solutions for variational inequalities describing the stationary flow of certain viscous incompressible fluids. Zbl 1357.76062 Fuchs, M.; Repin, S. 5 2010 \(L^\infty\)-bounds for elliptic equations on Orlicz-Sobolev spaces. Zbl 0933.35053 Fuchs, Martin; Li, Gongbao 5 1999 Splitting type variational problems with linear growth conditions. Zbl 1448.49011 Bildhauer, M.; Fuchs, M. 5 2020 The regularity of minima of variational problems with graph obstacles. Zbl 0644.49008 Fuchs, Martin; Wiegner, Michael 4 1989 A note on removable singularities for minima of certain vector-valued obstacle problems. Zbl 0608.49006 Fuchs, Martin 4 1987 An elementary partial regularity proof for vector-valued obstacle problems. Zbl 0609.35011 Fuchs, Martin 4 1987 Image inpainting with energies of linear growth. A collection of proposals. Zbl 1302.49004 Bildhauer, M.; Fuchs, M. 4 2014 Global gradient bounds for relaxed variational problems. Zbl 0892.49027 Fuchs, Martin; Li, Gongbao 4 1997 The smoothness of the free boundary for a class of vector-valued problems. Zbl 0694.35220 Fuchs, Martin 4 1989 Progress in DES for wall-modelled LES of complex internal flows. Zbl 1365.76093 Mockett, C.; Fuchs, M.; Thiele, F. 4 2012 Computable upper bounds for the constants in Poincaré-type inequalities for fields of bounded deformation. Zbl 1403.74017 Fuchs, Martin 4 2011 Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0943.74076 Fuchs, Martin; Seregin, Gregory 4 1999 Higher order variational problems on two-dimensional domains. Zbl 1136.49027 Bildhauer, Michael; Fuchs, Martin 4 2006 Splitting-type variational problems with mixed linear-superlinear growth conditions. Zbl 1466.49009 Bildhauer, Michael; Fuchs, Martin 4 2021 An estimate for the distance of a complex valued Sobolev function defined on the unit disc to the class of holomorphic functions. Zbl 1276.31001 Fuchs, Martin 4 2011 A Liouville theorem for stationary incompressible fluids of von Mises type. Zbl 1499.76037 Fuchs, Martin; Müller, Jan 4 2019 A global nonlinear evolution problem for generalized Newtonian fluids: Local initial regularity of the strong solution. Zbl 1122.76008 Fuchs, M.; Seregin, G. 4 2007 Liouville-type results in two dimensions for stationary points of functionals with linear growth. Zbl 1485.49016 Bildhauer, Michael; Fuchs, Martin 2 2022 Some geometric properties of nonparametric \(\mu\)-surfaces in \(\mathbb{R}^3\). Zbl 1482.49047 Bildhauer, Michael; Fuchs, Martin 2 2022 On the global regularity for minimizers of variational integrals: splitting-type problems in 2D and extensions to the general anisotropic setting. Zbl 1500.49021 Bildhauer, Michael; Fuchs, Martin 1 2022 Splitting-type variational problems with mixed linear-superlinear growth conditions. Zbl 1466.49009 Bildhauer, Michael; Fuchs, Martin 4 2021 On a class of variational problems with linear growth and radial symmetry. Zbl 1538.49016 Bildhauer, Michael; Fuchs, Martin 2 2021 Splitting type variational problems with linear growth conditions. Zbl 1448.49011 Bildhauer, M.; Fuchs, M. 5 2020 A Liouville theorem for stationary incompressible fluids of von Mises type. Zbl 1499.76037 Fuchs, Martin; Müller, Jan 4 2019 Signal recovery via TV-type energies. Zbl 1392.49003 Fuchs, M.; Müller, J.; Tietz, C. 7 2018 A remark on denoising of greyscale images using energy densities with varying growth rates. Zbl 1398.49032 Fuchs, M.; Müller, J. 1 2018 Existence and regularity for stationary incompressible flows with dissipative potentials of linear growth. Zbl 1404.76011 Bildhauer, M.; Fuchs, M.; Müller, J. 1 2018 A higher order TV-type variational problem related to the denoising and inpainting of images. Zbl 1358.49043 Fuchs, Martin; Müller, Jan 7 2017 An alternative approach towards the higher order denoising of images. analytical aspects. Zbl 1384.35019 Bildhauer, M.; Fuchs, M.; Weickert, J. 1 2017 \(C^{1,\alpha}\)-interior regularity for minimizers of a class of variational problems with linear growth related to image inpainting. Zbl 1335.49058 Bildhauer, M.; Fuchs, M.; Tietz, C. 11 2016 Denoising and inpainting of images using TV-type energies: theoretical and computational aspects. Zbl 1381.94011 Bildhauer, M.; Fuchs, M.; Weickert, J. 6 2016 On the solvability in Sobolev spaces and related regularity results for a variant of the TV-image recovery model: the vector-valued case. Zbl 1382.49044 Bildhauer, M.; Fuchs, M.; Müller, J.; Tietz, C. 3 2016 On some perturbations of the total variation image inpainting method. II: Relaxation and dual variational formulation. Zbl 1321.49054 Bildhauer, M.; Fuchs, M. 14 2015 Existence of generalized minimizers and dual solutions for a class of variational problems with linear growth related to image recovery. Zbl 1331.49014 Fuchs, M.; Tietz, C. 10 2015 On some perturbations of the total variation image inpainting method. III: Minimization among sets with finite perimeter. Zbl 1335.49024 Bildhauer, M.; Fuchs, M. 3 2015 On some perturbations of the total variation image inpainting method. I: Regularity theory. Zbl 1321.49060 Bildhauer, M.; Fuchs, M. 16 2014 Image inpainting with energies of linear growth. A collection of proposals. Zbl 1302.49004 Bildhauer, M.; Fuchs, M. 4 2014 Variations on Liouville’s theorem in the setting of stationary flows of generalized Newtonian fluids in the plane. Zbl 1311.35216 Fuchs, M. 2 2014 Liouville-type theorems for steady flows of degenerate power law fluids in the plane. Zbl 1273.76076 Bildhauer, Michael; Fuchs, Martin; Zhang, Guo 15 2013 Solenoidal Lipschitz truncation and applications in fluid mechanics. Zbl 1245.35080 Breit, D.; Diening, L.; Fuchs, M. 28 2012 A variational approach to the denoising of images based on different variants of the TV-regularization. Zbl 1260.49074 Bildhauer, Michael; Fuchs, Martin 21 2012 Stationary flows of shear thickening fluids in 2D. Zbl 1294.35097 Fuchs, Martin 14 2012 Liouville theorems for stationary flows of shear thickening fluids in the plane. Zbl 1254.76055 Fuchs, Martin 12 2012 Liouville theorems for entire local minimizers of energies defined on the class \(L \log L\) and for entire solutions of the stationary Prandtl-Eyring fluid model. Zbl 1252.49075 Fuchs, Martin; Zhang, Guo 10 2012 Progress in DES for wall-modelled LES of complex internal flows. Zbl 1365.76093 Mockett, C.; Fuchs, M.; Thiele, F. 4 2012 The nonlinear Stokes problem with general potentials having superquadratic growth. Zbl 1270.35335 Breit, Dominic; Fuchs, Martin 20 2011 Local Lipschitz regularity of vector valued local minimizers of variational integrals with densities depending on the modulus of the gradient. Zbl 1211.49047 Fuchs, Martin 16 2011 A note on a Liouville type result of Gilbarg and Weinberger for the stationary Navier-Stokes equations in 2D. Zbl 1291.35218 Fuchs, M.; Zhong, X. 9 2011 A geometric maximum principle for variational problems in spaces of vector-valued functions of bounded variation. Zbl 1319.49074 Bildhauer, Michael; Fuchs, Martin 5 2011 A posteriori error estimates for the approximations of the stresses in the Hencky plasticity problem. Zbl 1419.74076 Fuchs, M.; Repin, S. 5 2011 Computable upper bounds for the constants in Poincaré-type inequalities for fields of bounded deformation. Zbl 1403.74017 Fuchs, Martin 4 2011 An estimate for the distance of a complex valued Sobolev function defined on the unit disc to the class of holomorphic functions. Zbl 1276.31001 Fuchs, Martin 4 2011 Some Poincaré-type inequalities for functions of bounded deformation involving the deviatoric part of the symmetric gradient. Zbl 1305.74038 Fuchs, M.; Repin, S. 3 2011 Compact embeddings of the space of functions with bounded logarithmic deformation. Zbl 1229.46023 Fuchs, M.; Bildhauer, M. 3 2011 Two-dimensional variational problems with a wide range of anisotropy. Zbl 1279.49026 Fuchs, M. 1 2011 Korn inequalities in Orlicz spaces. Zbl 1237.26013 Fuchs, Martin 13 2010 Interior gradient bounds for local minimizers of variational integrals under nonstandard growth conditions. Zbl 1357.49010 Apushkinskaya, D.; Bildhauer, M.; Fuchs, M. 11 2010 Differentiability and higher integrability results for local minimizers of splitting-type variational integrals in 2D with applications to nonlinear Hencky-materials. Zbl 1189.49057 Bildhauer, Michael; Fuchs, Martin 10 2010 A note on non-uniformly elliptic Stokes-type systems in two variables. Zbl 1195.76148 Fuchs, Martin 9 2010 Generalizations of Korn’s inequality based on gradient estimates in Orlicz spaces and applications to variational problems in 2D involving the trace free part of the symmetric gradient. Zbl 1286.49042 Fuchs, M. 5 2010 Estimates of the deviations from the exact solutions for variational inequalities describing the stationary flow of certain viscous incompressible fluids. Zbl 1357.76062 Fuchs, M.; Repin, S. 5 2010 Regularity results for local minimizers of energies with general densities having superquadratic growth. Zbl 1207.49046 Fuchs, M. 3 2010 On local generalized minimizers and local stress tensors for variational problems with linear growth. Zbl 1301.49096 Apushkinskaya, D.; Bildhauer, M.; Fuchs, M. 2 2010 An application of a new coercive inequality to variational problems studied in general relativity and in Cosserat elasticity giving the smoothness of minimizers. Zbl 1180.49040 Fuchs, Martin; Schirra, Oliver 14 2009 Variational integrals of splitting-type: higher integrability under general growth conditions. Zbl 1181.49035 Bildhauer, M.; Fuchs, M. 9 2009 The elastic-plastic torsion problem: A posteriori error estimates for approximate solutions. Zbl 1172.74033 Bildhauer, M.; Fuchs, M.; Repin, S. 3 2009 Minimization of energies related to the plate problem. Zbl 1159.74022 Fuchs, M. 1 2009 Duality based a posteriori error estimates for higher order variational inequalities with power growth functionals. Zbl 1151.65057 Bildhauer, Michael; Fuchs, Martin; Repin, Sergey 2 2008 Higher integrability of the gradient for vectorial minimizers of decomposable variational integrals. Zbl 1120.49031 Bildhauer, M.; Fuchs, M. 16 2007 A regularity theory for scalar local minimizers of splitting-type variational integrals. Zbl 1150.49015 Bildhauer, Michael; Fuchs, Martin; Zhong, Xiao 14 2007 On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids. Zbl 1129.35061 Bildhauer, M.; Fuchs, M.; Zhong, X. 9 2007 Partial regularity for local minimizers of splitting-type variational integrals. Zbl 1141.49032 Bildhauer, M.; Fuchs, M. 7 2007 A posteriori error estimates for stationary slow flows of power-law fluids. Zbl 1109.76007 Bildhauer, M.; Fuchs, M.; Repin, S. 5 2007 A global nonlinear evolution problem for generalized Newtonian fluids: Local initial regularity of the strong solution. Zbl 1122.76008 Fuchs, M.; Seregin, G. 4 2007 Variational integrals with a wide range of anisotropy. Zbl 1284.49049 Bildhauer, M.; Fuchs, M.; Zhong, X. 3 2007 Continuity properties of the stress tensor in the 3-dimensional Ramberg/Osgood model. Zbl 1134.74008 Bildhauer, Michael; Fuchs, Martin 3 2007 Partial regularity for higher order variational problems under anisotropic growth conditions. Zbl 1149.49031 Apushkinskaya, Darya; Fuchs, Martin 2 2007 On the regularity of local minimizers of decomposable variational integrals on domains in \(\mathbb R^2\). Zbl 1199.49075 Bildhauer, M.; Fuchs, M. 2 2007 A functional type a posteriori error analysis for the Ramberg-Osgood model. Zbl 1128.74006 Bildhauer, Michael; Fuchs, Martin; Repin, Sergey 2 2007 Smoothness of weak solutions of the Ramberg/Osgood equations on plane domains. Zbl 1104.74030 Bildhauer, M.; Fuchs, M. 1 2007 A short remark on energy functionals related to nonlinear Hencky materials. Zbl 1154.74005 Bildhauer, Michael; Fuchs, Martin 1 2007 A posteriori error estimates of functional type for variational problems related to generalized Newtonian fluids. Zbl 1105.76049 Fuchs, M.; Repin, S. 12 2006 Higher order variational problems on two-dimensional domains. Zbl 1136.49027 Bildhauer, Michael; Fuchs, Martin 4 2006 \(C^{1,\alpha}\)-solutions to non-autonomous anisotropic variational problems. Zbl 1101.49029 Bildhauer, Michael; Fuchs, Martin 40 2005 Steady states of anisotropic generalized Newtonian fluids. Zbl 1162.76375 Apushkinskaya, Darya; Bildhauer, Michael; Fuchs, Martin 26 2005 A lemma on the higher integrability of functions with applications to the regularity theory of two-dimensional generalized Newtonian fluids. Zbl 1116.49018 Bildhauer, Michael; Fuchs, Martin; Zhong, Xiao 24 2005 Regularization of convex variational problems with applications to generalized Newtonian fluids. Zbl 1078.76005 Bildhauer, Michael; Fuchs, Martin 1 2005 A regularity result for stationary electrorheological fluids in two dimensions. Zbl 1058.76073 Bildhauer, Michael; Fuchs, Martin 13 2004 Variants of the Stokes problem: the case of anisotropic potentials. Zbl 1072.76019 Bildhauer, Michael; Fuchs, Martin 19 2003 Twodimensional anisotropic variational problems. Zbl 1026.49027 Bildhauer, M.; Fuchs, M. 11 2003 Relaxation of convex variational problems with linear growth defined on classes of vector-valued functions. Zbl 1029.49013 Bildhauer, M.; Fuchs, M. 11 2003 Convex variational problems with linear growth. Zbl 1046.35020 Bildhauer, Michael; Fuchs, Martin 3 2003 On a class of variational integrals with linear growth satisfying the condition of \(\mu\)-ellipticity. Zbl 1047.49029 Bildhauer, Michael; Fuchs, Martin 20 2002 Partial regularity for a class of anisotropic variational integrals with convex hull property. Zbl 1076.49018 Bildhauer, M.; Fuchs, M. 15 2002 Elliptic variational problems with nonstandard growth. Zbl 1054.49026 Bildhauer, Michael; Fuchs, Martin 3 2002 Interior regularity for free and constrained local minimizers of variational integrals under general growth and ellipticity conditions. Zbl 1073.49029 Bildhauer, M.; Fuchs, M. 2 2002 The effect of a surface energy term on the distribution of phases in an elastic medium with a two-well elastic potential. Zbl 1131.74326 Bildhauer, Michael; Fuchs, Martin; Osmolovskiĭ, Victor 2 2002 The effect of a penalty term involving higher order derivatives on the distribution of phases in an elastic medium with a two-well elastic potential. Zbl 1032.49018 Bildhauer, M.; Fuchs, M.; Osmolovskii, V. G. 1 2002 Partial regularity for variational integrals with \((s,\mu,q)\)-growth. Zbl 1018.49026 Bildhauer, Michael; Fuchs, Martin 32 2001 A priori gradient bounds and local \(C^{1,\alpha}\)-estimates for (double) obstacle problems under non-standard growth conditions. Zbl 1011.49024 Bildhauer, M.; Fuchs, M.; Mingione, G. 21 2001 Higher order variational inequalities with non-standard growth conditions in dimension two: plates with obstacles. Zbl 1014.49031 Bildhauer, Michael; Fuchs, Martin 3 2001 Local regularity of solutions of variational problems for the equilibrium configuration of an incompressible, multiphase elastic body. Zbl 0984.49021 Bildhauer, Michael; Fuchs, Martin; Seregin, Gregory 1 2001 Obstacle problems with linear growth: Hölder regularity for the dual solutions. Zbl 0995.49024 Bildhauer, Michael; Fuchs, Martin 1 2001 Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0964.76003 Fuchs, Martin; Seregin, Gregory 123 2000 Full \(C^{1,\alpha}\)-regularity for free and constrained local minimizers of elliptic variational integrals with nearly linear growth. Zbl 0995.49023 Fuchs, Martin; Mingione, Giuseppe 59 2000 A two-dimensional variational model for the equilibrium configuration of an incompressible, elastic body with a three-well elastic potential. Zbl 1032.74028 Fuchs, Martin; Seregin, Gregory 2 2000 Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening. Zbl 0928.76087 Fuchs, Martin; Seregin, Gregory 25 1999 Ab initio pseudopotentials for electronic structure calculations of poly-atomic systems using density-functional theory. Zbl 0998.81551 Fuchs, Martin; Scheffler, Matthias 15 1999 Regularity for dual solutions and for weak cluster points of minimizing sequences of variational problems with linear growth. Zbl 0977.49025 Bildhauer, M.; Fuchs, M. 8 1999 \(L^\infty\)-bounds for elliptic equations on Orlicz-Sobolev spaces. Zbl 0933.35053 Fuchs, Martin; Li, Gongbao 5 1999 Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0943.74076 Fuchs, Martin; Seregin, Gregory 4 1999 A regularity theory for variational integrals with \(L\ln L\)-growth. Zbl 0929.49022 Fuchs, Martin; Seregin, Gregory 37 1998 Variational integrals on Orlicz-Sobolev spaces. Zbl 0913.49023 Fuchs, M.; Osmolovski, V. 33 1998 Variational inequalities for energy functionals with nonstandard growth conditions. Zbl 0987.49019 Fuchs, Martin; Li, Gongbao 28 1998 Regularity results for the quasi-static Bingham variational inequality in dimensions two and three. Zbl 0899.76044 Fuchs, Martin; Seregin, Gregory 14 1998 Second order obstacle problems for vectorial functions and integrands with subquadratic growth. Zbl 0910.49002 Fuchs, M.; Li, Gongbao; Martio, O. 1 1998 Hölder continuity for weak extremals of some two-dimensional variational problems related to nonlinear elasticity. Zbl 0929.49021 Fuchs, Martin; Seregin, Gregori 12 1997 ...and 52 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 571 Authors 88 Fuchs, Martin 39 Bildhauer, Michael 29 Mingione, Giuseppe 21 Breit, Dominic 20 Diening, Lars 20 Repin, Sergeĭ Igorevich 18 Leonetti, Francesco 15 Duzaar, Frank 14 Gmeineder, Franz 14 Passarelli di Napoli, Antonia 13 Bulíček, Miroslav 13 De Filippis, Cristiana 12 Verde, Anna 11 Sin, Cholmin 10 Málek, Josef 10 Neff, Patrizio 10 Růžička, Michael 10 Stroffolini, Bianca 9 Beck, Lisa 9 Cianchi, Andrea 9 Gao, Hongya 9 Granucci, Tiziano 9 Marcellini, Paolo 9 Müller, Jan-Steffen 8 Carozza, Menita 8 Mascolo, Elvira 8 Papageorgiou, Nikolaos S. 8 Rhoudaf, Mohamed 8 Schwarzacher, Sebastian 7 Kristensen, Jan 7 Misawa, Masashi 7 Zhong, Xiao 6 Alves, Claudianor Oliveira 6 Arkhipova, Arina A. Arkhipova 6 Byun, Sun-Sig 6 Cupini, Giovanni 6 Frehse, Jens 6 Giova, Raffaella 6 Kim, Seick 6 Leone, Chiara 6 Moussa, Hicham 6 Schikorra, Armin 6 Schmidt, Thomas 5 Colombo, Maria 5 De los Reyes, Juan Carlos 5 Eleuteri, Michela 5 Focardi, Matteo 5 Lewintan, Peter 5 Nguyen, Thanh-Nhan 5 Petricca, Pier Vincenzo 5 Pigola, Stefano 5 Tietz, Christian 5 Tran, Minh Phuong 5 Wang, Wendong 5 Zhou, Shulin 4 Beirão da Veiga, Hugo 4 Berselli, Luigi Carlo 4 Burczak, Jan 4 Chlebicka, Iwona 4 Cho, Yumi 4 Crispo, Francesca 4 Dolzmann, Georg 4 Esposito, Luca 4 Fardoun, Ali 4 Gentile, Andrea 4 Kang, Kyungkeun 4 Kaplický, Petr 4 Mazowiecka, Katarzyna Ewa 4 Nguyễn Thạc Dũng 4 Pauly, Dirk 4 Rindler, Filip 4 Scheven, Christoph 4 Steffen, Klaus 4 Strzelecki, Paweł 4 Terasawa, Yutaka 4 Valdman, Jan 4 Veronelli, Giona 4 Zhang, Chao 4 Zhang, Guo 4 Zhang, Kewei 3 Andersson, John Erik 3 Azroul, Elhoussine 3 Bae, Hyeong-Ohk 3 Balaadich, Farah 3 Barton, Ariel E. 3 Benseridi, Hamid 3 Brasco, Lorenzo 3 Carstensen, Carsten 3 Carvalho, Marcos L. M. 3 Caselli, Michele 3 Consiglieri, Luisa 3 Conti, Sergio 3 Da Silva, Edcarlos Domingos 3 De Maria, Bruno 3 Dong, Hongjie 3 Foss, Mikil D. 3 Grimaldi, Antonio Giuseppe 3 Guo, Changyu 3 Gwiazda, Piotr 3 Huang, Miaomiao ...and 471 more Authors all top 5 Cited in 159 Serials 46 Calculus of Variations and Partial Differential Equations 44 Journal of Mathematical Sciences (New York) 36 Manuscripta Mathematica 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 32 Journal of Mathematical Analysis and Applications 19 Archive for Rational Mechanics and Analysis 19 Journal of Differential Equations 18 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Mathematical Methods in the Applied Sciences 14 Journal of Mathematical Fluid Mechanics 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Journal of Functional Analysis 11 St. Petersburg Mathematical Journal 10 NoDEA. Nonlinear Differential Equations and Applications 9 Nonlinear Analysis. 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Serie IV 3 Journal of the Korean Mathematical Society 3 Mathematische Annalen 3 Numerical Functional Analysis and Optimization 3 Rendiconti del Seminario Matematico della Università di Padova 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Boundary Value Problems 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Afrika Matematika 2 Journal of Mathematical Physics 2 Nonlinearity 2 Applied Mathematics and Computation 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Journal of Optimization Theory and Applications 2 Kybernetika 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Journal of Scientific Computing 2 International Journal of Mathematics 2 Applications of Mathematics 2 Topological Methods in Nonlinear Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Journal of Applied Analysis 2 Abstract and Applied Analysis 2 Positivity 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Evolution Equations 2 Computational Methods in Applied Mathematics 2 Advanced Nonlinear Studies 2 Analysis & PDE 2 Science China. Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 Indian Journal of Pure & Applied Mathematics 1 Inverse Problems 1 Journal of Computational Physics 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Mathematics of Computation 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization 1 Journal of Computational and Applied Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Mathematics and Computers in Simulation ...and 59 more Serials all top 5 Cited in 32 Fields 487 Partial differential equations (35-XX) 232 Calculus of variations and optimal control; optimization (49-XX) 122 Fluid mechanics (76-XX) 70 Global analysis, analysis on manifolds (58-XX) 55 Mechanics of deformable solids (74-XX) 50 Functional analysis (46-XX) 40 Differential geometry (53-XX) 38 Numerical analysis (65-XX) 34 Real functions (26-XX) 17 Operator theory (47-XX) 16 Potential theory (31-XX) 13 Information and communication theory, circuits (94-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 7 Functions of a complex variable (30-XX) 7 Computer science (68-XX) 6 Ordinary differential equations (34-XX) 4 Optics, electromagnetic theory (78-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) Citations by Year