BOUNDARY AND INTERIOR LAYER PHENOMENA OF SINGULARLY PERTURBED NONLINEAR ELLIPTIC PROBLEMS

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摘要 This paper investigates the boundary value problems for a class of singularly perturbed nonlinear elliptic equations. By means of the theory of partial differential in- equalities the author obtains the existence and asymptotic estimation of the solutions, involving the boundary and interior layer behavior, of the problems as described. This paper investigates the boundary value problems for a class of singularly perturbed nonlinear elliptic equations. By means of the theory of partial differential in- equalities the author obtains the existence and asymptotic estimation of the solutions, involving the boundary and interior layer behavior, of the problems as described.

作者张祥

出处《Acta Mathematica Scientia》 SCIE CSCD 1999年第S1期589-597,共9页 数学物理学报（B辑英文版）

关键词 Elliptic equation boundary value problem differential inequality singular perturbation Elliptic equation, boundary value problem, differential inequality, singular perturbation

分类号 O175 [理学—基础数学]

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Acta Mathematica Scientia

1999年第S1期

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BOUNDARY AND INTERIOR LAYER PHENOMENA OF SINGULARLY PERTURBED NONLINEAR ELLIPTIC PROBLEMS

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