Decomposition of inframonogenic functions with applications in elasticity theory

DOI10.1002/mma.6015zbMath1446.30077OpenAlexW2988577649MaRDI QIDQ5116932

Juan Bory-Reyes, Ricardo Abreu-Blaya, Tania Moreno-García, Arsenio Moreno García

Publication date: 19 August 2020

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

Full work available at URL: https://doi.org/10.1002/mma.6015

zbMATH Keywords

linear elasticityClifford analysisLamé systemAlmansi decompositioninframonogenic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (17)

Almansi-type decomposition theorem for bi-\(k\)-regular functions in the Clifford algebra \(Cl_{2n+2,0} (\mathbb{R})\) ⋮ On \((\phi,\psi)\)-inframonogenic functions in Clifford analysis ⋮ Integral representation formulas for higher order Dirac equations ⋮ Boundary value problems for the Lamé-Navier system in fractal domains ⋮ On the Dirichlet problem for second order elliptic systems in the ball ⋮ Two spheres uniquely determine infrabimonogenic functions ⋮ Inframonogenic decomposition of higher‐order Lipschitz functions ⋮ Boundary value problems for a second‐order elliptic partial differential equation system in Euclidean space ⋮ Transmission boundary value problems for the Lamé-Navier system ⋮ Reduced‐quaternion inframonogenic functions on the ball ⋮ Unnamed Item ⋮ On structure of inframonogenic functions ⋮ Generalizations of harmonic functions in \(\mathbb{R}^m\) ⋮ Comparing harmonic and inframonogenic functions in Clifford analysis ⋮ Isomorphisms of partial differential equations in Clifford analysis ⋮ On a generalized Lamé-Navier system in \(\mathbb{R}^3\) ⋮ Sets of uniqueness for infrapolymonogenic functions

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