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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya

Izv. RAN. Ser. Mat., 2004, Volume 68, Issue 6, Pages 3–60 (Mi im509)

Continuity at boundary points of solutions of quasilinear elliptic equations with a non-standard growth condition
Yu. A. Alkhutov, O. V. Krasheninnikova

This publication is cited in the following articles:
  1. O. V. Hadzhy, M. O. Savchenko, I. I. Skrypnik, “On asymptotic behavior of solutions to non-uniformly elliptic equations with generalized Orlicz growth: to the memory of Mykhailo Voitovych”, J Elliptic Parabol Equ, 2025  crossref
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  18. Skrypnik I.I., Voitovych M.V., “on the Generalized U-M,P(F) Classes of de Giorgi-Ladyzhenskaya-Ural'Tseva and Pointwise Estimates of Solutions to High-Order Elliptic Equations Via Wolff Potentials”, J. Differ. Equ., 268:11 (2020), 6778–6820  crossref  mathscinet  isi
  19. Yu. A. Alkhutov, M. D. Surnachev, “Hölder Continuity and Harnack's Inequality for $p(x)$-Harmonic Functions”, Proc. Steklov Inst. Math., 308 (2020), 1–21  mathnet  crossref  crossref  mathscinet  isi  elib
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  21. Igor I. Skrypnik, Mykhailo V. Voitovych, “$ {\mathfrak{B}}_1 $ classes of De Giorgi, Ladyzhenskaya, and Ural'tseva and their application to elliptic and parabolic equations with nonstandard growth”, J Math Sci, 246:1 (2020), 75  crossref
  22. Yu. A. Alkhutov, M. D. Surnachev, “The Boundary Behavior of a Solution to the Dirichlet Problem for the p-Laplacian with Weight Uniformly Degenerate on a Part of Domain with Respect to Small Parameter”, J Math Sci, 250:2 (2020), 183  crossref
  23. Alkhutov Yu.A., Surnachev M.D., “A Harnack Inequality For a Transmission Problem With P(X)-Laplacian”, Appl. Anal., 98:1-2, SI (2019), 332–344  crossref  mathscinet  isi  scopus
  24. Yu. A. Alkhutov, M. D. Surnachev, “Behavior of solutions of the Dirichlet Problem for the $ p(x)$-Laplacian at a boundary point”, St. Petersburg Math. J., 31:2 (2019), 251–271  mathnet  crossref  isi  elib
  25. Yu. A. Alkhutov, M. D. Surnachev, “Harnack's inequality for the $p(x)$-Laplacian with a two-phase exponent $p(x)$”, J. Math. Sci. (N. Y.), 244:2 (2020), 116–147  mathnet  crossref  elib
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  27. Yu. A. Alkhutov, M. D. Surnachev, “On the regularity of a boundary point for the p(x)-Laplacian”, Dokl. Math., 97:1 (2018), 65–68  crossref  crossref  mathscinet  zmath  isi  elib  scopus
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