Strongly anisotropic elliptic problems of infinite order with variable exponents

DOI10.1080/17476933.2013.854344zbMath1298.35052OpenAlexW2008741513MaRDI QIDQ5495718

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Publication date: 6 August 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2013.854344

zbMATH Keywords

monotonicity conditionsign conditionstrongly nonlinear elliptic equations of infinite order

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Higher-order elliptic equations (35J30)

Related Items (1)

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Cites Work

• Lebesgue and Sobolev spaces with variable exponents
• Orlicz spaces and modular spaces
• Overview of differential equations with non-standard growth
• Anisotropic equations in weighted Sobolev spaces of higher order
• Existence results for strongly nonlinear elliptic equations of infinite order
• Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
• Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
• On a strongly anisotropic equation withL¹data
• Density of smooth functions in W ^{k, p(x)} ( Ω )
• SOBOLEV SPACES OF INFINITE ORDER AND THE BEHAVIOR OF SOLUTIONS OF SOME BOUNDARY VALUE PROBLEMS WITH UNBOUNDED INCREASE OF THE ORDER OF THE EQUATION
• OnL^p(x)norms
• Gradient estimates for thep(x)-Laplacean system
• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids

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