Igor Skrypnik

Monographs and Books

Kovalevsky, A.A., Skrypnik, I.I., & Shishkov, A.E. (2016). Singular solutions of nonlinear elliptic and parabolic equations, Walter de Gruyter GmbH & Co KG.

Articles

Savchenko M., Skrypnik I., & Yevgenieva Y. (2024). On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations. Journal of Mathematical Analysis and Applications, 537 (2), art. no. 128331. DOI: 10.1016/j.jmaa.2024.128331

Ciani S., Henriques E., & Skrypnik I.I. (2024). The impact of intrinsic scaling on the rate of extinction for anisotropic non-Newtonian fast diffusion. Nonlinear Analysis, Theory, Methods and Applications, 242, art. no. 113497. DOI: 10.1016/j.na.2024.113497

Baldelli L., Ciani S., Skrypnik I., & Vespri V. (2024). A note on the point-wise behaviour of bounded solutions for a non-standard elliptic operator. Discrete and Continuous Dynamical Systems – Series S, 17 (5-6), pp. 1718-1732. DOI: 10.3934/dcdss.2022143

Skrypnik I., & Yevgenieva Y. (2024). 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), art. no. 7. DOI: 10.1007/s00526-023-02608-1

Hadzhy O.V., Skrypnik I.I., & Voitovych M.V. (2023). Interior continuity, continuity up to the boundary, and Harnack’s inequality for double-phase elliptic equations with nonlogarithmic conditions. Mathematische Nachrichten, 296 (9), 3892-3914. DOI: 10.1002/mana.202000574

Savchenko M., Skrypnik I., & Yevgenieva Y. (2023). Harnack’s inequality for degenerate double phase parabolic equations under the non-logarithmic Zhikov’s condition. Journal of Mathematical Sciences, 273 (3), 427-452. DOI: 10.1007/s10958-023-06508-9

Savchenko, M.O., Skrypnik, I.I., & Yevgenieva, Y.A. (2023). Continuity and Harnack inequalities for local minimizers of non uniformly elliptic functionals with generalized Orlicz growth under the non-logarithmic conditions. Nonlinear Analysis, Theory, Methods and Applications, 230, art. no. 113221. DOI: 10.1016/j.na.2023.113221

Ciani, S., Skrypnik, I.I., Vespri, V. (2023). On the local behavior of local weak solutions to some singular anisotropic elliptic equations. Advances in Nonlinear Analysis, 12 (1), 237-265. DOI: 10.1515/anona-2022-0275

Skrypnik, I.I. (2022). Harnack’s inequality for singular parabolic equations with generalized Orlicz growth under the non-logarithmic Zhikov’s condition. Journal of Evolution Equations, 22 (2), art. no. 45. DOI: 10.1007/s00028-022-00794-7

Skrypnik, I.I., & Voitovych, M.V. (2022). On the continuity of solutions of quasilinear parabolic equations with generalized Orlicz growth under non-logarithmic conditions. Annali di Matematica Pura ed Applicata, 201 (3), 1381-1416. DOI: 10.1007/s10231-021-01161-y

Buryachenko, K.O., & Skrypnik, I.I. (2022). Local Continuity and Harnack’s Inequality for Double-Phase Parabolic Equations. Potential Analysis, 56 (1), 137-164. DOI: 10.1007/s11118-020-09879-9

Shan, M.A., Skrypnik, I.I., & Voitovych, M.V. (2021). Harnack’s inequality for quasilinear elliptic equations with generalized orlicz growth. Electronic Journal of Differential Equations, art. no. 27.

Skrypnik, I.I., & Voitovych, M.V. (2021). classes of De Giorgi–Ladyzhenskaya–Ural’tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditions. Nonlinear Analysis, Theory, Methods and Applications, 202, art. no. 112135. DOI: 10.1016/j.na.2020.112135

Liao, N., Skrypnik, I.I., & Vespri, V. (2020). Local regularity for an anisotropic elliptic equation. Calculus of Variations and Partial Differential Equations, 59 (4), art. no. 116. DOI: 10.1007/s00526-020-01781-x

Skrypnik, I.I., & Voitovych, M.V. (2020). On the generalized classes of De Giorgi-Ladyzhenskaya-Ural’tseva and pointwise estimates of solutions to high-order elliptic equations via Wolff potentials. Journal of Differential Equations, 268 (11), 6778-6820. DOI: 10.1016/j.jde.2019.11.051

Skrypnik, I.I., & Voitovych, M.V. (2020). classes of De Giorgi, Ladyzhenskaya, and Ural’tseva and their application to elliptic and parabolic equations with nonstandard growth. Journal of Mathematical Sciences (United States), 246 (1), 75-109. DOI: 10.1007/s10958-020-04724-1

Skrypnik, I.I. (2019). Harnack’s Inequality for Quasilinear Elliptic Equations with Singular Absorption Term. Potential Analysis, 50 (4), 521-539. DOI: 10.1007/s11118-018-9691-9

Shan, M.A., & Skrypnik, I.I. (2019). Keller-Osserman estimates and removability result for the anisotropic porous medium equation with gradient absorption term. Mathematische Nachrichten, 292 (2), 436-453. DOI: 10.1002/mana.201700177

Buryachenko, K.O., & Skrypnik, I.I. (2019). Riesz potentials and pointwise estimates of solutions to anisotropic porous medium equation. Nonlinear Analysis, Theory, Methods and Applications, 178, 56-85. DOI: 10.1016/j.na.2018.07.006

Skrypnik, I.I. (2018). Keller-Osserman a priori estimates and the Harnack inequality for the evolution p-Laplace equation with singular absorption term. Journal of Mathematical Analysis and Applications, 467 (2), 959-980. DOI: 10.1016/j.jmaa.2018.07.046

Skrypnik, I.I., & Tedeev, A.F. (2018). Decay of the mass of the solution to the Cauchy problem of the degenerate parabolic equation with nonlinear potential. Complex Variables and Elliptic Equations, 63 (1), 90-115. DOI: 10.1080/17476933.2017.1286331

Namlyeyeva, Y.V., & Skrypnik, I.I. (2018). Removable singularities for elliptic equations with (p, q)-growth conditions. Differential and Integral Equations, 31 (1-2), 95-110.

Skrypnik, I.I., & Buryachenko, K.O. (2017). Pointwise estimates of solutions to the double-phase elliptic equations. Journal of Mathematical Sciences (United States), 222 (6), 772-786. DOI: 10.1007/s10958-017-3331-6

Shan, M.A., & Skrypnik, I.I. (2017). Keller–Osserman a priori estimates and the Harnack inequality for quasilinear elliptic and parabolic equations with absorption term. Nonlinear Analysis, Theory, Methods and Applications, 155, 97-114. DOI: 10.1016/j.na.2017.01.011

Skrypnik, I.I. (2016). Removability of isolated singularities for anisotropic elliptic equations with gradient absorption. Israel Journal of Mathematics, 215 (1), 163-179. DOI: 10.1007/s11856-016-1377-7

Skrypnik, I.I. (2016). Continuity of solutions to singular parabolic equations with coefficients from Kato-type classes. Annali di Matematica Pura ed Applicata, 195 (4), 1153-1176. DOI: 10.1007/s10231-015-0509-8

Skrypnik, I.I. (2015). Removable singularities of quasilinear parabolic equations with coefficients from Kato-type classes. Journal of Evolution Equations, 15 (2), 309-329. DOI: 10.1007/s00028-014-0262-2

Skrypnik, I.I. (2014). Removable singularities for anisotropic elliptic equations. Potential Analysis, 41 (4), 1127-1145. DOI: 10.1007/s11118-014-9414-9

Liskevich, V., & Skrypnik, I.I. (2013). Pointwise estimates for solutions of singular quasi-linear parabolic equations. Discrete and Continuous Dynamical Systems – Series S, 6 (4), 1029-1042. DOI: 10.3934/dcdss.2013.6.1029

Liskevich, V., Skrypnik, I.I., & Sobol, Z. (2013). Estimates of solutions for the parabolic p-Laplacian equation with measure via parabolic nonlinear potentials. Communications on Pure and Applied Analysis, 12 (4), 1731-1744. DOI: 10.3934/cpaa.2013.12.1731

Liskevich, V., & Skrypnik, I.I. (2013). Pointwise estimates for solutions to the porous medium equation with measure as a forcing term. Israel Journal of Mathematics, 194 (1), 259-275. DOI: 10.1007/s11856-012-0098-9

Skrypnik, I.I. (2013). Removability of isolated singularity for anisotropic parabolic equations with absorption. Manuscripta Mathematica, 140 (1-2), 145-178. DOI: 10.1007/s00229-012-0534-5