Boundary value problems for the laplacian in an exterior domain

DOI10.1080/0360530810882192zbMath0473.35036OpenAlexW1507081968MaRDI QIDQ3927565

Robert C. McOwen

Publication date: 1981

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0360530810882192

zbMATH Keywords

harmonic polynomialsKelvin transformweighted Sobolev spacespseudo-differential operatorFredholm index

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (13)

Integral operators determined by quasielliptic equations. I ⋮ Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces ⋮ The helmhotz decomposition of weighted l^r-Spaces ⋮ Unnamed Item ⋮ PROPRIÉTÉ D'INDICE EN THÉORIE HÖLDÉRIENNE POUR LE PROBLÈME EXTÉRIEUR DE DIRICHLET ⋮ The poisson equation with weights in exterior domains of Rⁿ ⋮ Ellipticity of Bartnik boundary data for stationary vacuum spacetimes ⋮ Exterior stokes problems and decay at infinity ⋮ Unnamed Item ⋮ The Dirichlet Problem for Second Order Elliptic Operators on Unbounded Domains ⋮ Solutions of nonlinear elliptic equations in unbounded Lipschitz domains ⋮ A variational approach in weighted Sobolev spaces to the operator \(- \Delta +\partial /\partial x_ 1\) in exterior domains of \({\mathbb{R}}^ 3\) ⋮ Some Variants of the Poincaré-Lemma

Cites Work

• Boundary value problems for asymptotically homogeneous elliptic second order operators
• The null spaces of elliptic partial differential operators in R\(^n\)
• Pseudo-differential operators and non-elliptic boundary problems
• Boundary problems for pseudo-differential operators
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• The behavior of the laplacian on weighted sobolev spaces
• Singular Integrals and Boundary Value Problems
• Unnamed Item

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