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JOURNALS // Trudy Seminara imeni I. G. Petrovskogo

Tr. Semim. im. I. G. Petrovskogo, 2019, Issue 32, Pages 8–56 (Mi tsp100)

Harnack's inequality for the $p(x)$-Laplacian with a two-phase exponent $p(x)$
Yu. A. Alkhutov, M. D. Surnachev

This publication is cited in the following articles:
  1. Tran Thi Hanh, Le Cong Nhan, “A new de Giorgi class type related to the Caffarelli-Kohn-Nirenberg weights and Hölder continuity”, Journal of Mathematical Analysis and Applications, 541:2 (2025), 128696  crossref
  2. Igor Skrypnik, Yevgeniia Yevgenieva, “Harnack inequality for solutions of the p(x)-Laplace equation under the precise non-logarithmic Zhikov's conditions”, Calc. Var., 63:1 (2024)  crossref
  3. Andrii S. Bychkov, Oleksandr V. Hadzhy, Yevhen S. Zozulia, “On the generalized weak Harnack inequality for non-negative super-solutions of quasilinear elliptic equations with absorption term”, J Math Sci, 282:1 (2024), 13  crossref
  4. Simone Ciani, Eurica Henriques, Igor I. Skrypnik, “The weak Harnack inequality for unbounded minimizers of elliptic functionals with generalized Orlicz growth”, Advances in Calculus of Variations, 2024  crossref
  5. Mariia O. Savchenko, Igor I. Skrypnik, Yevgeniia A. Yevgenieva, “Continuity and Harnack inequalities for local minimizers of non uniformly elliptic functionals with generalized Orlicz growth under the non-logarithmic conditions”, Nonlinear Analysis, 230 (2023), 113221  crossref
  6. Oleksandr V. Hadzhy, Igor I. Skrypnik, Mykhailo V. Voitovych, “Interior continuity, continuity up to the boundary, and Harnack's inequality for double‐phase elliptic equations with nonlogarithmic conditions”, Mathematische Nachrichten, 296:9 (2023), 3892  crossref
  7. Ihor Skrypnik, Maria Savchenko, Yevgeniia Yevgenieva, “Weak Harnack inequality for unbounded solutions to the p(x)-Laplace equation under the precise non-logarithmic conditions”, Proc. IAMM NASU, 37 (2023), 48  crossref
  8. D. E. Apushkinskaya, A. I. Nazarov, “The normal derivative lemma and surrounding issues”, Russian Math. Surveys, 77:2 (2022), 189–249  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
  9. Maria A. Shan, Igor I. Skrypnik, Mykhailo V. Voitovych, “Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth”, ejde, 2021:01-104 (2021), 27  crossref
  10. Yu. A. Alkhutov, M. D. Surnachev, “Harnack inequality for the elliptic $p(x)$-Laplacian with a three-phase exponent $p(x)$”, Comput. Math. Math. Phys., 60:8 (2020), 1284–1293  mathnet  crossref  crossref  isi  elib


© Steklov Math. Inst. of RAS, 2025