The Neumann problem in the half-space

DOI10.1016/S1631-073X(02)02428-7zbMath1019.35026OpenAlexW1978386908MaRDI QIDQ699225

Chérif Amrouche

Publication date: 21 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02428-7

zbMATH Keywords

Laplace equationNeumann problem\(L^p\)-theoryhalfspace

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for second-order elliptic equations (35J20)

Related Items (11)

Nonhomogeneous biharmonic problem in the half-space, \(L^{p}\) theory and generalized solutions ⋮ The Singularity Expansion Method applied to the transient motions of a floating elastic plate ⋮ New estimates for the div, curl, grad operators and elliptic problems with \(L^{1}\)-data in the half-space ⋮ New estimates for the div-curl-grad operators and elliptic problems with \(L^{1}\)-data in the whole space and in the half-space ⋮ An \(L^p\) theory of linear elasticity in the half-space ⋮ Very weak, generalized and strong solutions to the Stokes system in the half-space ⋮ The Helmholtz equation with impedance in a half-plane ⋮ On a generalized Stokes system with slip boundary conditions in the half-space ⋮ The Helmholtz equation in a locally perturbed half-space with non-absorbing boundary ⋮ Exterior problems in the half-space for the Laplace operator in weighted Sobolev spaces ⋮ Exterior Stokes problem in the half-space

Cites Work

• 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
• Espaces de Sobolev avec poids pour l'équation de Laplace dans le demi-espace

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