32
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

The generalized riemann—hilbert boundary value problem for polyharmonic functions in the sobolev spaces W2n,P(D)

Pages 315-326 | Received 01 Aug 1998, Published online: 29 May 2007

References

  • Adams , R.A. 1975 . Sobolev Spaces , New York : Academic Press .
  • Begehr , H. 1994 . Complex Analytic Methods for Partial Differential Equations , Singapore : World Scientific Pub. Co. .
  • Begehr , H. and Wen , G.C. 1996 . Nonlinear Elliptic Boundary Value Problems and Their Applications , Harlow : Longman Ltd. .
  • Gakhov , F. D. 1966 . Boundary Value Problems , Oxford : Pergamon Press .
  • Kufner , A. , John , O. and Fucik , S. 1977 . Function Spaces , Leyden : Noordhoff Int. Publ. .
  • Monakhov , V.N. 1983 . Boundary Value Problems , New Jersey : Amer. Math. Soc .
  • Mshimba , A. S. 1980 . Construction of the solution to the Dirichlet boundary value problem in W 1,p(G) for systems of elliptic partial differential equations in the plane . Math. Nachr. , 99 : 145 – 163 .
  • Mshimba , A. S. 1988 . The Hilbert boundary value problem for holomorphic functions in Sobolev spaces . Appl. Anal. , 30 : 87 – 99 .
  • Mshimba , A. S. 1991 . The Cauchy-Lebesgue integral and boundary value problems . Compl Var. , 16 : 307 – 313 .
  • Muskhelishvili , N. I. 1965 . Singuläre Integralgleichungen , Berlin : Akademie-Verlag .
  • Triebel , H. 1978 . Interpolation Theory, Function Spaces, Differential Operators , Amsterdam : North Holland Publ. Co. .
  • Triebel , H. 1983 . Theory of Function Spaces I , Basel : Birkhäuser-Verlag .
  • Vekua , I. N. 1962 . Generalized Analytic Functions , Oxford : Pergamon Press .
  • Vekua , I. N. 1967 . New Methods of Solving Elliptic Equations , Amsterdam : North Holland Publ. Co. .
  • Wen , G. C. and Begehr , H. 1990 . Boundary Value Problems for Elliptic Equations and Systems , Harlow : Longman Ltd. .
  • Xu , Z. Y. 1987 . Nonlinear Poincaré problem for a system of first order elliptic equations in the plane . Compl. Var. , 7 : 363 – 381 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.