The poisson equation with weights in exterior domains of Rn
From MaRDI portal
Publication:5751266
DOI10.1080/00036819208840057zbMath0719.35020OpenAlexW1991795644MaRDI QIDQ5751266
Publication date: 1992
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036819208840057
existenceuniquenessPoisson's equationDirichlet boundary conditionexterior domaindecay rateL\({}^ p\)-theory
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (6)
On the Poisson equation in exterior domains ⋮ Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces ⋮ \(p\)-Laplacian boundary value problems on exterior regions ⋮ Representations of solutions of Laplacian boundary value problems on exterior regions ⋮ Exterior Problem of the Linear Vlasov--Poisson--Boltzmann System ⋮ Well‐posedness and approximation of solutions of linear divergence‐form elliptic problems on exterior regions
Cites Work
- Unnamed Item
- Unnamed Item
- On the semigroup of the Stokes operator for exterior domains in L q- spaces
- Weighted Sobolev spaces and the nonlinear Dirichlet problem in unbounded domains
- Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
- Boundary value problems for asymptotically homogeneous elliptic second order operators
- On the index of elliptic partial differential operators in \(R^n\)
- The null spaces of elliptic partial differential operators in R\(^n\)
- On Dirichlet's boundary value problem. An \(L^p\)-theory based on a generalization of Garding's inequality
- Lösungen der poissongleichung und harmonische vektorfelder in unbeschränkten gebieten
- The behavior of the laplacian on weighted sobolev spaces
- Boundary value problems for the laplacian in an exterior domain
This page was built for publication: The poisson equation with weights in exterior domains of Rn
