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The Riemann-Hilbert Problem for Nonlinear Elliptic Complex Equations of First Order in Multiply Connected Infinite Domains

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Partial Differential and Integral Equations

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 2))

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Abstract

There are many problems in mechanics and physics, the mathematical models of which are some boundary valye problems for nonlinear elliptic complex equations of first and second order in multiply connected infinite domains, see e.g. [3]. In this paper, we discuss the Riemann-Hilbert boundary value problem for nonlinear elliptic complex equations of first order in multiply connected domains including the infinite point.

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References

  1. Vekua, I. N.: Generalized analytic functions. Pergamon, Oxford, 1962.

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  2. Wen, Guo Chun, Begehr, H.: Boundary value problems for elliptic equations and systems. Longman Scientific and Technical, Harlow, 1990.

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  3. Begehr, H., Wen, G.-C.: Nonlinear elliptic boundary value problems and their applications. Addison Wesley Longman, Harlow, 1996.

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© 1999 Kluwer Academic Publishers

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Wen, GC. (1999). The Riemann-Hilbert Problem for Nonlinear Elliptic Complex Equations of First Order in Multiply Connected Infinite Domains. In: Begehr, H.G.W., Gilbert, R.P., Wen, GC. (eds) Partial Differential and Integral Equations. International Society for Analysis, Applications and Computation, vol 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3276-3_5

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  • DOI: https://doi.org/10.1007/978-1-4613-3276-3_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3278-7

  • Online ISBN: 978-1-4613-3276-3

  • eBook Packages: Springer Book Archive

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