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A Class of Singularly Perturbed Generalized Boundary Value Problems for Quasi-Linear Elliptic Equation of Higher Order

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Abstract

The singularly perturbed generalized boundary value problems for the quasi-linear elliptic equation of higher order are considered. Under suitable conditions, the existence, uniqueness and asymptotic behavior of the generalized solution for the Dirichlet problems are studied.

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Authors and Affiliations

  1. Department of Mathematics, Anhui Normal University, Wuhu, 241000, P R China

    Jia-qi Mo

  2. Department of Mathematics, Huzhou Teachers College, Huzhou, 313000, P R China

    Cheng Ouyang

Authors
  1. Jia-qi Mo
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  2. Cheng Ouyang
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Mo, Jq., Ouyang, C. A Class of Singularly Perturbed Generalized Boundary Value Problems for Quasi-Linear Elliptic Equation of Higher Order. Applied Mathematics and Mechanics 22, 372–378 (2001). https://doi.org/10.1023/A:1015527024596

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  • DOI: https://doi.org/10.1023/A:1015527024596

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