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Singular perturbation of general boundary value problem for higher order quasilinear elliptic equation involving many small parameters

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Abstract

In this paper applying M. I. Visik's and L. A. Lyusternik's[1] asymptotic method and principle of fixed point of functional analysis, we study the singular perturbation of general boundary value problem for higher order quasilinear elliptic equation in the case of boundary perturbation combined with equation perturbation. We prove the existence and uniqueness of solution for perturbed problem. We give its asymptotic approximation and estimation of related remainder term.

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Authors and Affiliations

  1. Department of Mathematics, Fujian Normal University, Fujian, China

    Lin Zong-chi & Ni Shou-ping

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  1. Lin Zong-chi
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  2. Ni Shou-ping
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Zong-chi, L., Shou-ping, N. Singular perturbation of general boundary value problem for higher order quasilinear elliptic equation involving many small parameters. Appl Math Mech 4, 725–741 (1983). https://doi.org/10.1007/BF02432084

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  • DOI: https://doi.org/10.1007/BF02432084

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