WeightedLp‐theory for vector potential operators in three‐dimensional exterior domains

DOI10.1002/mma.3615zbMath1351.35047OpenAlexW1921774889MaRDI QIDQ2814061

Mohamed Meslameni, Hela Louati, Ulrich Razafison

Publication date: 17 June 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3615

zbMATH Keywords

weighted Sobolev spacesvector potentialunbounded domainsSobolev inequalitiesHelmholtz decompositionLaplace equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Spaces of vector- and operator-valued functions (46E40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Second-order elliptic systems (35J47)

Related Items (9)

\(L^p\)-theory for the exterior Stokes problem with Navier's type slip-without-friction boundary conditions ⋮ Global well-posedness to the compressible nematic liquid crystal flows with large oscillations and vacuum in 3D exterior domains ⋮ Linearized Navier-Stokes equations with boundary conditions involving the pressure in an exterior domain of \(\mathbb{R}^3\) ⋮ \(L^p\)-strong solution for the stationary exterior Stokes equations with Navier boundary condition ⋮ Global strong solutions to the viscous liquid-gas two-phase flow model with slip boundary conditions in 3D exterior domains ⋮ Global strong solutions to full compressible magnetohydrodynamic system with vacuum in 3D exterior domains ⋮ Global classical solutions to the viscous two-phase flow model with slip boundary conditions in 3D exterior domains ⋮ On the three‐dimensional stationary exterior Stokes problem with non standard boundary conditions ⋮ Weighted Hilbert spaces for the stationary exterior Stokes problem with Navier slip boundary conditions

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