Nonhomogeneous biharmonic problem in the half-space, \(L^{p}\) theory and generalized solutions

DOI10.1016/j.jde.2007.01.018zbMath1142.35015OpenAlexW2005673151MaRDI QIDQ879374

Yves Raudin, Chérif Amrouche

Publication date: 11 May 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.01.018

zbMATH Keywords

weighted Sobolev spacesbiharmonic problemhalf-space

Mathematics Subject Classification ID

Related Items (4)

The biharmonic problem in the half-space with traces in weighted Sobolev spaces ⋮ Very weak, generalized and strong solutions to the Stokes system in the half-space ⋮ On a generalized Stokes system with slip boundary conditions in the half-space ⋮ Structure of the solution set for a partial differential inclusion

Cites Work

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• The Neumann problem in the half-space
• A note on the reflection principle for the biharmonic equation and the Stokes system
• On the boundary value problem for the stationary Stokes system in the half-space
• Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
• Espaces de Sobolev avec poids application au problème de Dirichlet dans un demi espace
• Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition
• The three-dimensional problem of steady-state motion of a fluid with a free surface
• Espaces de Sobolev avec poids pour l'équation de Laplace dans le demi-espace
• On the Stokes system and on the biharmonic equation in the half-space: an approach via weighted Sobolev spaces

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