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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 1-2: Homogenization and Qualitative Theory of Differential Equations dedicated to the memory of Vassily Vassilievich Zhikov
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Articles

A Harnack inequality for a transmission problem with p(x)-Laplacian

Yu. A. AlkhutovDepartment of Mathematical Education and Information Technology, Vladimir State University, Vladimir, Russia.View further author information
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M. D. SurnachevComputational Aeroacoustics Laboratory, Keldysh Institute of Applied Mathematics RAS, Moscow, Russia.Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0003-4071-5097View further author information
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Pages 332-344 | Received 30 Sep 2017, Accepted 28 Dec 2017, Published online: 11 Jan 2018

Citations (12)

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R. Chammem, A. Ghanmi & A. Sahbani. (2022) Existence and multiplicity of solutions for some Styklov problem involving p(x)-Laplacian operator. Applicable Analysis 101:7, pages 2401-2417.
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Articles from other publishers (11)

Igor Skrypnik & Yevgeniia Yevgenieva. (2023) Harnack inequality for solutions of the p(x)-Laplace equation under the precise non-logarithmic Zhikov’s conditions. Calculus of Variations and Partial Differential Equations 63:1.
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Oleksandr V. Hadzhy, Igor I. Skrypnik & Mykhailo V. Voitovych. (2023) Interior continuity, continuity up to the boundary, and Harnack's inequality for double‐phase elliptic equations with nonlogarithmic conditions. Mathematische Nachrichten.
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Ihor Skrypnik, Maria Savchenko & Yevgeniia Yevgenieva. (2023) Weak Harnack inequality for unbounded solutions to the p(x)-Laplace equation under the precise non-logarithmic conditions. Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine 37, pages 48-60.
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Mariia O. Savchenko, Igor I. Skrypnik & Yevgeniia A. Yevgenieva. (2023) Continuity and Harnack inequalities for local minimizers of non uniformly elliptic functionals with generalized Orlicz growth under the non-logarithmic conditions. Nonlinear Analysis 230, pages 113221.
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Kamel Akrout & Souraya Fareh. (2023) Multiplicity results for some Steklov problems involving $p(x)$-Laplacian operator. Novi Sad Journal of Mathematics Accepted.
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Maria A. Shan, Igor I. Skrypnik & Mykhailo V. Voitovych. (2021) Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth. Electronic Journal of Differential Equations 2021:01-104, pages 27.
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Igor I. Skrypnik & Mykhailo V. Voitovych. (2021) 1 classes of De Giorgi–Ladyzhenskaya–Ural’tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditions . Nonlinear Analysis 202, pages 112135.
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Yu. A. Alkhutov & M. D. Surnachev. (2020) Harnack Inequality for the Elliptic p(x)-Laplacian with a Three-Phase Exponent p(x). Computational Mathematics and Mathematical Physics 60:8, pages 1284-1293.
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Igor I. Skrypnik & Mykhailo V. Voitovych. (2020) $$ {\mathfrak{B}}_1 $$ classes of De Giorgi, Ladyzhenskaya, and Ural’tseva and their application to elliptic and parabolic equations with nonstandard growth. Journal of Mathematical Sciences 246:1, pages 75-109.
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Yu. A. Alkhutov & M. D. Surnachev. (2019) Harnack’s Inequality for the p(x)-Laplacian with a Two-Phase Exponent p(x). Journal of Mathematical Sciences 244:2, pages 116-147.
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Igor SkrypnikI.I. & Mykhailo VoitovychV.V.. (2019) \mathfrak{B}_{1} classes of De Giorgi, Ladyzhenskaya, and Ural'tseva and their application to elliptic and parabolic equations with nonstandard growth. Ukrainian Mathematical Bulletin 16:3, pages 403-447.
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