Construction of the Solution to the Dirichlet Boundary Value Problem Belonging toW1,p (G) for Systems of General (Linear or Nonlinear) Partial Differential Equations in the Plane

DOI10.1002/mana.19800990118zbMath0501.35032OpenAlexW2081096200MaRDI QIDQ3966507

Ali Seif Mshimba

Publication date: 1980

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19800990118

zbMATH Keywords

existenceuniquenessintegral equation methodDirichlet boundary value problemcomplex methodselliptic system in the planeconstruction of the solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items

The hilbert boundary value problem for elliptic differential equation in the plane, On the hilbert boundary value problem for holomorphic function in sobolev spaces, Nonlinear riemann problem for nonlinear elliptic systems in sobolev space W1,p (D), The generalized Riemann-Hilbert boundary value problem for non-homogeneous polyanalytic differential equation of order \(n\) in the Sobolev space \(W_{n,p}(D)\), On a Mapping Property of the Singular Integral Operators T_G and Π_G in Sobolev Spaces

Cites Work

• Singular integrals
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