Function theory for a class of elliptic systems in the plane

DOI10.1016/0022-0396(79)90040-8zbMath0406.35020OpenAlexW2083878282MaRDI QIDQ1257600

Gerald N. Hile

Publication date: 1979

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(79)90040-8

zbMATH Keywords

Cauchy Integral FormulaTaylor SeriesElliptic Systems in the PlaneLaurent Series

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Nonlinear higher-order PDEs (35G20)

Related Items (4)

A Schwartz-type boundary value problem in a biharmonic plane ⋮ Dirichlet problem for weakly coupled elliptic systems on the plane ⋮ Commutative complex algebras of the second rank with unity and some cases of plane orthotropy. I ⋮ The Neumann problem for elliptic systems on a plane

Cites Work

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• Constructive methods for fourth-order elliptic equations
• Representations of solutions of a special class of first order systems
• Generalized Hypercomplex Function Theory
• Unique continuation and the cauchy problem for first order systems of partial differential equations
• A class of hyperbolic operators with double involutive characteristics of fuchsian type
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• On preservation of Lipschitz spaces under singular integral operators
• A function‐theoretic approach to elliptic systems of equations in two variables
• Singular integrals and periodic functions

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