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Publications in Math-Net.Ru
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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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Existence theory for the EED inpainting problem
Algebra i Analiz, 32:3 (2020), 127–148
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An alternative approach towards the higher order denoising of images. Analytical aspects
Zap. Nauchn. Sem. POMI, 444 (2016), 47–88
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$C^{1,\alpha}$-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
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A geometric maximum principle for variational problems in spaces of vector valued functions of bounded variation
Zap. Nauchn. Sem. POMI, 385 (2010), 5–17
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Error estimates for obstacle problems Of higher order
Zap. Nauchn. Sem. POMI, 348 (2007), 5–18
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Variational integrals with a wide range of anisotropy
Algebra i Analiz, 18:5 (2006), 46–71
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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
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Estimates of the deviation from the minimizer for variational problems with power growth functionals
Zap. Nauchn. Sem. POMI, 336 (2006), 5–24
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Relaxation of convex variational problems with linear growth defined on classes of vector-valued functions
Algebra i Analiz, 14:1 (2002), 26–45
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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
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A uniqueness theorem for the dual problem associated to a variational problem with linear growth
Zap. Nauchn. Sem. POMI, 271 (2000), 83–91
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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
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