Obstacle problem for nonlinear p(x)-parabolic inequalities

Akdim, Youssef; Allalou, Chakir; Gorch, Nezha El; Mekkour, Mounir

doi:10.1063/1.5090635

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2023

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Cited by 3 publications

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“…Fortunately, Kim, Wang and Zhang in [15] have shown good properties of a function space and the so-called weighted variable exponent Lebesgue-Sobolev spaces and the existence and some properties of solutions for degenerate elliptic equations with exponent variable have been proved by Ky Ho, Inbo Sim in [11]. Other work in direction of degenerate parabolic equations can be found in [2].…”

Section: Introductionmentioning

confidence: 97%

Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L ¹-data

Sabri

Jamea

Alaoui

2020

Communications in Mathematics

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Section: Introductionmentioning

confidence: 97%

Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L ¹-data

Sabri

Jamea

Alaoui

2020

Communications in Mathematics

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Some results on existence and regularity for non-linear p(x)-parabolic equations with quadratic growth with respect to the gradient and general data

Sabiry,

Zineddaine,

Melliani

et al. 2023

Filomat

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Nonlinear elliptic problems involving the generalized p(u)-Laplacian operator with Fourier boundary condition

Allalou

Temghart²,

Hilal³

2022

bspm

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This paper considers the existence of entropy solutions for some generalized elliptic p(u)-Laplacian problem with Fourier boundary conditions, when the variable exponent p is a real continuous function and we have dependency on the solution u. We get the results by assuming the right-hand sidefunction f to be an integrable function, and by using the regularization approach combined with the theoryof Sobolev spaces with variable exponents.

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Obstacle problem for nonlinear p(x)-parabolic inequalities

Cited by 3 publications

References 12 publications

Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L ¹-data

Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L ¹-data

Some results on existence and regularity for non-linear p(x)-parabolic equations with quadratic growth with respect to the gradient and general data

Nonlinear elliptic problems involving the generalized p(u)-Laplacian operator with Fourier boundary condition

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Obstacle problem for nonlinear p(x)-parabolic inequalities

Cited by 3 publications

References 12 publications

Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L 1-data

Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L 1-data

Some results on existence and regularity for non-linear p(x)-parabolic equations with quadratic growth with respect to the gradient and general data

Nonlinear elliptic problems involving the generalized p(u)-Laplacian operator with Fourier boundary condition

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Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L ¹-data

Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L ¹-data