The generalized Riemann problem of linear conjugation for polyanalytic functions of order \(n\) in \(W_{n,p}(D)\)

DOI10.4171/ZAA/1027zbMath0983.30020OpenAlexW2084659352MaRDI QIDQ5945538

Ali Seif Mshimba

Publication date: 14 October 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1027

zbMATH Keywords

Riemann problempolyanalytic function

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Boundary value problems for nonlinear higher-order PDEs (35G30) Boundary value problems in the complex plane (30E25) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (1)

The generalized Riemann problem of linear conjugation for non-homogeneous polyanalytic equations of order \(n\) in \(W_{n,p}(D)\)

Cites Work

• The cauchy-lebesgue integral and boundary value problems
• On the riemann boundary value problem for holomorphic functions in the sobolev space W_1,p(D)
• The Riemann boundary value problem for nonlinear elliptic systems in Sobolev space W_1,p(D)
• Nonlinear poincaré problem for a system of first-order elliptic equations in the plane
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