Existence and non-existence results for nonlinear elliptic equations with nonstandard growth (Q2019179)

scientific article; zbMATH DE number 6420139

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English	Existence and non-existence results for nonlinear elliptic equations with nonstandard growth	scientific article; zbMATH DE number 6420139

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instance of

scholarly article

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title

Existence and non-existence results for nonlinear elliptic equations with nonstandard growth (English)

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Journal of Mathematical Analysis and Applications

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publication date

27 March 2015

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zbMATH Keywords

existence and non-existence results

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$p(x)$-Laplace equations

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measure data

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.jmaa.2013.11.030

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cites work

Elliptic boundary value problems with nonstandard growth conditions

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A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions

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Renormalized solutions for a nonlinear parabolic equation with variable exponents and $L^{1}$-data

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Q4851005

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Nonlinear elliptic and parabolic equations involving measure data

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Nonlinear Elliptic Equations with Right Hand Side Measures

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Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data

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Variable Exponent, Linear Growth Functionals in Image Restoration

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On the integral representation of certain local functionals

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Maximal function on generalized Lebesgue spaces L^p(⋅)

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Lebesgue and Sobolev spaces with variable exponents

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Global $C^{1,\alpha}$ regularity for variable exponent elliptic equations in divergence form

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A constrained minimization problem involving the $p(x)$-Laplacian in $\mathbb R^N$

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Existence of solutions for $p(x)$-Laplacian Dirichlet problem.

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On the spaces $L^{p(x)}(\Omega)$ and $W^{m,p(x)}(\Omega)$

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A multiplicity result for $p(x)$-Laplacian problem in $\mathbb R^N$

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Q4463769

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The strong minimum principle for quasisuperminimizers of non-standard growth

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Overview of differential equations with non-standard growth

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Q3517461

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Q4021390

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Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder

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Elliptic equations with nonstandard growth involving measures

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Long-time behavior for a nonlinear parabolic problem with variable exponents

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Non-existence of solutions for some nonlinear elliptic equations involving measures

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Mathematical modeling of electrorheological materials

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Electrorheological fluids: Modeling and mathematical theory

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Entropy solutions for the $p(x)$-Laplace equation

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Existence and uniqueness of renormalized solutions to nonlinear elliptic equations with variable exponents and $L^{1}$-data

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Existence of positive solutions for elliptic systems with nonstandard $p(x)$-growth conditions via sub-supersolution method

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ENTROPY AND RENORMALIZED SOLUTIONS FOR THE<i>p</i>(<i>x</i>)-LAPLACIAN EQUATION WITH MEASURE DATA

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Renormalized and entropy solutions for nonlinear parabolic equations with variable exponents and $L^{1}$ data

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On some variational problems

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Identifiers

zbMATH Open document ID

1312.35088

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Mathematics Subject Classification ID

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10.1016/J.JMAA.2013.11.030

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Sitelinks

Mathematics(1 entry)

mardi Publication:2019179