The existence of weak solutions to non-homogeneous \(A\)-Dirac equations with Dirichlet boundary data

DOI10.1007/S00006-013-0428-YzbMath1304.35015OpenAlexW1989504729MaRDI QIDQ742327

Yueming Lu, Gejun Bao

Publication date: 18 September 2014

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-013-0428-y

zbMATH Keywords

Dirac equationsPoincaré inequalitiesClifford valued function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Functions of hypercomplex variables and generalized variables (30G35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Convergence of very weak solutions to \(A\)-Dirac equations in Clifford analysis ⋮ On weak solutions to Dirac-harmonic equations for differential forms ⋮ Nonlinear parabolic systems in Clifford type analysis ⋮ Navier-Stokes equations with variable viscosity in variable exponent spaces of Clifford-valued functions

Cites Work

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• Nonlinear \(A\)-Dirac equations
• \(p\)-Dirac operators
• \(A\)-harmonic equations and the Dirac operator
• Nonlinear Hodge theory on manifolds with boundary
• Inequalities for Differential Forms

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