Galerkin approximations in problems with anisotropicp(·)-Laplacian

DOI10.1080/00036811.2018.1451641zbMath1416.35128OpenAlexW2789728177MaRDI QIDQ4628946

S. E. Pastukhova, D. A. Yakubovich

Publication date: 25 March 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1451641

zbMATH Keywords

Dirichlet problemGalerkin approximation\(p(\cdot)\)-Laplacian

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theoretical approximation in context of PDEs (35A35) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (4)

Homogenization of multivalued monotone operators with variable growth exponent ⋮ Galerkin approximations for the Dirichlet problem with the $p(x)$-Laplacian ⋮ A posteriori estimates of the deviation from exact solutions to variational problems under nonstandard coerciveness and growth conditions ⋮ A posteriori estimates for the accuracy of approximations in variational problems with power functionals

Cites Work

• On variational problems and nonlinear elliptic equations with nonstandard growth conditions
• Lebesgue and Sobolev spaces with variable exponents
• On Lavrentiev's phenomenon
• On existence and uniqueness classes for the Cauchy problem for parabolic equations of the \(p\)-Laplace type
• Galerkin approximations in problems with \(p\)-Laplacian
• Sobolev embeddings with variable exponent
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