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On Compound Boundary Value Problems for Nonlinear Elliptic Systems of First Order

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Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 7))

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Abstract

This paper deals with the compound boundary value problems for nonlinear elliptic systems in multiply connected domains. A priori estimates of solutions for modified boundary value problems is given, by using Leray-Schauder theorem, the existence of solutions for the modified boundary value problem is proved.

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References

  1. Wen Guochun, Yang Guangwu, Huang Sha. Generalized analytic functions and its generalizations. Hebei: Hebei Education Press, 1987 (in Chinese).

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  2. Wen Guochun. Linear and nonlinear elliptic complex equations. Shanghai: Shanghai Science & Technology Press, 1986 (in Chinese).

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  3. Dai Daoqing. On compound boundary value problem for nonlinear elliptic equation of first order. Chinese Ann. of Math., 1994, 15A(3): 335–339.

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

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© 2000 Kluwer Academic Publishers

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Zhao, C. (2000). On Compound Boundary Value Problems for Nonlinear Elliptic Systems of First Order. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0269-8_28

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  • DOI: https://doi.org/10.1007/978-1-4613-0269-8_28

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7970-6

  • Online ISBN: 978-1-4613-0269-8

  • eBook Packages: Springer Book Archive

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