Nonlinear poincaré problem for a system of first-order elliptic equations in the plane

DOI10.1080/17476938708814212zbMath0567.35032OpenAlexW2074469622MaRDI QIDQ3682879

Zhen-Yuan Xu

Publication date: 1987

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476938708814212

zbMATH Keywords

existenceuniquenessindexNewton methodimbedding methodhypercomplex functionwell- posednonlinear Poincaré problemsystem of first order elliptic equations in the plane

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Theoretical approximation in context of PDEs (35A35) Boundary value problems for linear first-order PDEs (35F15)

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The generalized Riemann problem of linear conjugation for polyanalytic functions of order \(n\) in \(W_{n,p}(D)\) ⋮ The generalized Riemann-Hilbert boundary value problem for non-homogeneous polyanalytic differential equation of order \(n\) in the Sobolev space \(W_{n,p}(D)\)

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