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Interior continuity, continuity up to the boundary, and Harnack's inequality for double‐phase elliptic equations with nonlogarithmic conditions

Mathematische Nachrichten, 2023-09, Vol.296 (9), p.3892-3914

2023

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Harnack’s inequality for singular parabolic equations with generalized Orlicz growth under the non-logarithmic Zhikov’s condition

Journal of evolution equations, 2022-06, Vol.22 (2), Article 45

Skrypnik, Igor I.

2022

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Singular Solutions of Nonlinear Elliptic and Parabolic Equations

1, 2016

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Local Continuity and Harnack’s Inequality for Double-Phase Parabolic Equations

Potential analysis, 2022, Vol.56 (1), p.137-164

2022

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On the continuity of solutions of quasilinear parabolic equations with generalized Orlicz growth under non-logarithmic conditions

Annali di matematica pura ed applicata, 2022-06, Vol.201 (3), p.1381-1416

2022

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On the local behavior of local weak solutions to some singular anisotropic elliptic equations

Advances in nonlinear analysis, 2023-01, Vol.12 (1), p.237-265

2023

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Local regularity for an anisotropic elliptic equation

Calculus of variations and partial differential equations, 2020-08, Vol.59 (4), Article 116

2020

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Riesz potentials and pointwise estimates of solutions to anisotropic porous medium equation

Nonlinear analysis, 2019-01, Vol.178, p.56-85

2019

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Removability of isolated singularities for anisotropic elliptic equations with gradient absorption

Israel journal of mathematics, 2016-09, Vol.215 (1), p.163-179

Skrypnik, Igor I.

2016

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Continuity of solutions to singular parabolic equations with coefficients from Kato-type classes

Annali di matematica pura ed applicata, 2016-08, Vol.195 (4), p.1153-1176

Skrypnik, Igor I.

2016

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B1 classes of De Giorgi, Ladyzhenskaya, and Ural’tseva and their application to elliptic and parabolic equations with nonstandard growth

Journal of mathematical sciences (New York, N.Y.), 2020, Vol.246 (1), p.75-109

2020

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Hölder continuity of solutions to an anisotropic elliptic equation

Nonlinear analysis, 2009-09, Vol.71 (5), p.1699-1708

2009

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Pointwise estimates of solutions to the double-phase elliptic equations

Journal of mathematical sciences (New York, N.Y.), 2017-05, Vol.222 (6), p.772-786

2017

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Decay of the mass of the solution to the Cauchy problem of the degenerate parabolic equation with nonlinear potential

Complex variables and elliptic equations, 2018-01, Vol.63 (1), p.90-115

2018

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B1 classes of De Giorgi–Ladyzhenskaya–Ural’tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditions

Nonlinear analysis, 2021-01, Vol.202, Article 112135

2021

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The impact of intrinsic scaling on the rate of extinction for anisotropic non-Newtonian fast diffusion

Nonlinear analysis, 2024-05, Vol.242, p.113497, Article 113497

2024

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Harnack inequality and continuity of solutions to elliptic equations with nonstandard growth conditions and lower order terms

Annali di matematica pura ed applicata, 2010-04, Vol.189 (2), p.335-356

2010

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Continuity and Harnack inequalities for local minimizers of non uniformly elliptic functionals with generalized Orlicz growth under the non-logarithmic conditions

Nonlinear analysis, 2023-05, Vol.230, p.113221, Article 113221

2023

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B 1 classes of De Giorgi–Ladyzhenskaya–Ural’tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditions

Nonlinear analysis, 2021-01, Vol.202, p.112135, Article 112135

2021

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A pointwise estimate of the solution to the p -Laplace evolution equation

Nonlinear analysis, 2010-03, Vol.72 (5), p.2400-2411

2010

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On the generalized Um,pf classes of De Giorgi-Ladyzhenskaya-Ural'tseva and pointwise estimates of solutions to high-order elliptic equations via Wolff potentials

Journal of Differential Equations, 2020-05, Vol.268 (11), p.6778-6820

2020

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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

Journal of Differential Equations, 2020-05, Vol.268 (11), p.6778-6820

2020

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Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth

Electronic journal of differential equations, 2021-04, Vol.2021 (1-104), p.27

2021

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classes of De Giorgi, Ladyzhenskaya, and Ural'tseva and their application to elliptic and parabolic equations with nonstandard growth

Journal of mathematical sciences (New York, N.Y.), 2020-04, Vol.246 (1), p.75

2020

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{\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 (New York, N.Y.), 2020-04, Vol.246 (1), p.75-109

2020

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Interior continuity, continuity up to the boundary, and Harnack's inequality for double‐phase elliptic equations with nonlogarithmic conditions

Harnack’s inequality for singular parabolic equations with generalized Orlicz growth under the non-logarithmic Zhikov’s condition

Singular Solutions of Nonlinear Elliptic and Parabolic Equations

Local Continuity and Harnack’s Inequality for Double-Phase Parabolic Equations

On the continuity of solutions of quasilinear parabolic equations with generalized Orlicz growth under non-logarithmic conditions

On the local behavior of local weak solutions to some singular anisotropic elliptic equations

Local regularity for an anisotropic elliptic equation

Riesz potentials and pointwise estimates of solutions to anisotropic porous medium equation

Removability of isolated singularities for anisotropic elliptic equations with gradient absorption

Continuity of solutions to singular parabolic equations with coefficients from Kato-type classes

B1 classes of De Giorgi, Ladyzhenskaya, and Ural’tseva and their application to elliptic and parabolic equations with nonstandard growth

Hölder continuity of solutions to an anisotropic elliptic equation

Pointwise estimates of solutions to the double-phase elliptic equations

Decay of the mass of the solution to the Cauchy problem of the degenerate parabolic equation with nonlinear potential

B1 classes of De Giorgi–Ladyzhenskaya–Ural’tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditions

The impact of intrinsic scaling on the rate of extinction for anisotropic non-Newtonian fast diffusion

Harnack inequality and continuity of solutions to elliptic equations with nonstandard growth conditions and lower order terms

Continuity and Harnack inequalities for local minimizers of non uniformly elliptic functionals with generalized Orlicz growth under the non-logarithmic conditions

B 1 classes of De Giorgi–Ladyzhenskaya–Ural’tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditions

A pointwise estimate of the solution to the p -Laplace evolution equation

On the generalized Um,pf classes of De Giorgi-Ladyzhenskaya-Ural'tseva and pointwise estimates of solutions to high-order elliptic equations via Wolff potentials

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

Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth

classes of De Giorgi, Ladyzhenskaya, and Ural'tseva and their application to elliptic and parabolic equations with nonstandard growth

{\mathfrak{B}}_1 $$ classes of De Giorgi, Ladyzhenskaya, and Ural’tseva and their application to elliptic and parabolic equations with nonstandard growth

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