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A variation on the \(p(x)\)-Laplace equation - MaRDI portal

A variation on the \(p(x)\)-Laplace equation (Q2683650)

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Language	Label	Description	Also known as
English	A variation on the \(p(x)\)-Laplace equation	scientific article

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scholarly article

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A variation on the \(p(x)\)-Laplace equation (English)

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Yury A. Alkhutov

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Mikhail D. Surnachev

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Journal of Mathematical Sciences (New York)

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publication date

14 February 2023

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zbMATH Keywords

\(p(x)\)-Laplacian

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continuity of the solutions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10958-022-06205-z

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QUESTIONS OF CONVERGENCE, DUALITY, AND AVERAGING FOR FUNCTIONALS OF THE CALCULUS OF VARIATIONS

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AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY

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On Lavrentiev's phenomenon

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On variational problems and nonlinear elliptic equations with nonstandard growth conditions

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Lebesgue and Sobolev spaces with variable exponents

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Variable Lebesgue spaces. Foundations and harmonic analysis

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Continuity at boundary points of solutions of quasilinear elliptic equations with a non-standard growth condition

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On the continuity of solutions to elliptic equations with variable order of nonlinearity

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Regularity of a boundary point for the \(p(x)\)-Laplacian

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Behavior of solutions of the Dirichlet Problem for the $p(x)$-Laplacian at a boundary point

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Hölder continuity and Harnack's inequality for \(p(x)\)-harmonic functions

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\( \mathcal{B}_1\) classes of De Giorgi-Ladyzhenskaya-Ural'tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditions

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

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

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Remark on the Hölder continuity of \(p(x)\)-harmonic functions

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On Harnack's theorem for elliptic differential equations

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On the regularity of generalized solutions of linear, non-uniformly elliptic equations

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10958-022-06205-Z

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Mathematics(1 entry)

mardi Publication:2683650

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