The higher order regularity Dirichlet problem for elliptic systems in the upper-half space

zbMath1298.35071arXiv1405.2999MaRDI QIDQ2875850

Dorina Mitrea, Irina Mitrea, Marius Mitrea, José Maria Martell

Publication date: 12 August 2014

Full work available at URL: https://arxiv.org/abs/1405.2999

zbMATH Keywords

Poisson kernelLamé systemnontangential maximal functionsecond order elliptic systemhigher order Dirichlet problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Classical linear elasticity (74B05) Integral representations of solutions to PDEs (35C15) Explicit solutions of equilibrium problems in solid mechanics (74G05) Boundary value problems for second-order elliptic systems (35J57)

Related Items (6)

On the \(L^{p}\)-Poisson semigroup associated with elliptic systems ⋮ A fractional Korn-type inequality ⋮ A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the Upper Half-Space ⋮ Hörmander functional calculus for Poisson estimates ⋮ Partial regularity for BV minimizers ⋮ Fatou-type theorems and boundary value problems for elliptic systems in the upper half-space

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