Аннотация:
В работе доказывается неравенство Харнака для неотрицательных решений эллиптического p(x)-лапласиана и находятся достаточные условия на модуль непрерывности показателя p в точке, гарантирующие непрерывность решения в этой точке.
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)
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
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
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”, UMB, 21:1 (2024), 16
Mariia Savchenko, Igor Skrypnik, Yevgeniia Yevgenieva, “Harnack's inequality for degenerate double phase parabolic equations under the non-logarithmic Zhikov's condition”, J Math Sci, 273:3 (2023), 427
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
Mariia Savchenko, Igor Skrypnik, Yevgeniia Yevgenieva, “Harnack's inequality for degenerate double phase parabolic equations under the non-logarithmic Zhikov's condition”, UMB, 20:1 (2023), 124
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
Igor I. Skrypnik, “Harnack's inequality for singular parabolic equations with generalized Orlicz growth under the non-logarithmic Zhikov's condition”, J. Evol. Equ., 22:2 (2022)
Igor I. Skrypnik, Mykhailo V. Voitovych, “On the continuity of solutions of quasilinear parabolic equations with generalized Orlicz growth under non-logarithmic conditions”, Annali di Matematica, 201:3 (2022), 1381
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
Ю. А. Алхутов, М. Д. Сурначёв, “Гёльдерова непрерывность и неравенство Харнака для $p(x)$-гармонических функций”, Дифференциальные уравнения и динамические системы, Сборник статей, Труды МИАН, 308, МИАН, М., 2020, 7–27; 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
Цитирование в формате AMSBIB
Обратная связь: