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Publications in Math-Net.Ru |
Citations |
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2021 |
| 1. |
M. Bildhauer, M. Fuchs, “Small weights in Caccioppoli's inequality and applications to Liouville-type theorems for non-standard problems”, Zap. Nauchn. Sem. POMI, 508 (2021), 73–88  |
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2020 |
| 2. |
M. Bildhauer, M. Cárdenas, M. Fuchs, J. Weickert, “Existence theory for the EED inpainting problem”, Algebra i Analiz, 32:3 (2020), 127–148 ; St. Petersburg Math. J., 32:3 (2021), 481–497 |
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2017 |
| 3. |
M. Fuchs, J. Müller, C. Tietz, “Signal recovery via TV-type energies”, Algebra i Analiz, 29:4 (2017), 159–195   ; St. Petersburg Math. J., 29:4 (2018), 657–681   |
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2016 |
| 4. |
M. Bildhauer, M. Fuchs, J. Weickert, “An alternative approach towards the higher order denoising of images. Analytical aspects”, Zap. Nauchn. Sem. POMI, 444 (2016), 47–88 ; J. Math. Sci. (N. Y.), 224:3 (2017), 414–441 |
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2015 |
| 5. |
M. Bildhauer, M. Fuchs, C. Tietz, “$C^{1,\alpha}$-interior regularity for minimizers of a class of variational problems with linear growth related to image inpainting”, Algebra i Analiz, 27:3 (2015), 51–65 ; St. Petersburg Math. J., 27:3 (2016), 381–392 |
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2011 |
| 6. |
M. Fuchs, G. Zhang, “On entire solutions of the equations for the displacement fields in the deformation theory of plasticity with logarithmic hardening”, Zap. Nauchn. Sem. POMI, 397 (2011), 157–171 ; J. Math. Sci. (N. Y.), 185:5 (2012), 746–753 |
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2010 |
| 7. |
M. Fuchs, S. Repin, “Some Poincaré-type inequalities for functions of bounded deformation involving the deviatoric part of the symmetric gradient”, Zap. Nauchn. Sem. POMI, 385 (2010), 224–233 ; J. Math. Sci. (N. Y.), 178:3 (2011), 367–372 |
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| 8. |
M. Bildhauer, M. Fuchs, “A geometric maximum principle for variational problems in spaces of vector valued functions of bounded variation”, Zap. Nauchn. Sem. POMI, 385 (2010), 5–17 ; J. Math. Sci. (N. Y.), 178:3 (2011), 235–242 |
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2009 |
| 9. |
M. Fuchs, “Regularity results for local minimizers of energies with general densities having superquadratic growth”, Algebra i Analiz, 21:5 (2009), 203–221  ; St. Petersburg Math. J., 21:5 (2010), 825–838 |
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2007 |
| 10. |
M. Fuchs, G. A. Seregin, “Existence of global solutions for a parabolic
system related to the nonlinear Stokes problem”, Zap. Nauchn. Sem. POMI, 348 (2007), 254–271 ; J. Math. Sci. (N. Y.), 152:5 (2008), 769–779 |
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| 11. |
M. Bildhauer, M. Fuchs, “Error estimates for obstacle problems Of higher order”, Zap. Nauchn. Sem. POMI, 348 (2007), 5–18 ; J. Math. Sci. (N. Y.), 152:5 (2008), 617–624 |
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2006 |
| 12. |
M. Bildhauer, M. Fuchs, X. Zhong, “Variational integrals with a wide range of anisotropy”, Algebra i Analiz, 18:5 (2006), 46–71 ; St. Petersburg Math. J., 18:5 (2007), 717–736 |
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| 13. |
M. Bildhauer, M. Fuchs, X. Zhong, “On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids”, Algebra i Analiz, 18:2 (2006), 1–23 ; St. Petersburg Math. J., 18:2 (2007), 183–199 |
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2002 |
| 14. |
M. Bildhauer, M. Fuchs, “Relaxation of convex variational problems with linear growth defined on classes of vector-valued functions”, Algebra i Analiz, 14:1 (2002), 26–45 ; St. Petersburg Math. J., 14:1 (2003), 19–33 |
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| 15. |
M. Bildhauer, M. Fuchs, “Interior regularity for free and constrained local minimizers of variational integrals under general growth and ellipticity conditions”, Zap. Nauchn. Sem. POMI, 288 (2002), 79–99 ; J. Math. Sci. (N. Y.), 123:6 (2004), 4565–4576 |
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1999 |
| 16. |
M. Fuchs, M. Bildhauer, “Regularity for dual solutions and for weak cluster points of minimizing sequences of variational problems with linear growth”, Zap. Nauchn. Sem. POMI, 259 (1999), 46–66 ; J. Math. Sci. (New York), 109:5 (2002), 1835–1850 |
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1996 |
| 17. |
M. Fuchs, “Variational models for quasi-static non-Newtonian fluids”, Zap. Nauchn. Sem. POMI, 233 (1996), 55–62 ; J. Math. Sci. (New York), 93:5 (1999), 655–660 |
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1995 |
| 18. |
M. Fuchs, “Existence of solutions of nonlinear degenerate systems of parabolic variational inequalities”, Zap. Nauchn. Sem. POMI, 221 (1995), 243–252 ; J. Math. Sci. (New York), 87:2 (1997), 3434–3440 |
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1994 |
| 19. |
M. Fuchs, G. A. Seregin, “Partial regularity of the deformation gradient for some model problems in nonlinear twodimensional elasticity”, Algebra i Analiz, 6:6 (1994), 128–153 ; St. Petersburg Math. J., 6:6 (1995), 1229–1248 |
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