Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (3): 372-378.

• Articles • Previous Articles    

A CLASS OF SINGULARLY PERTURBED GENERALIZED BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATION OF HIGHER ORDER

MO Jia-qi1, OUYANG Cheng2   

  1. 1. Department of Mathematics, Anhui Normal University, Wuhu 241000, P. R. China;
    2. Department of Mathematics, Huzhou Teachers College, Huzhou 313000, P. R. China
  • Received:2000-02-28 Revised:2000-10-28 Online:2001-03-18 Published:2001-03-18

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.

Key words: elliptic equation, singular perturbation, generalized solution

2010 MSC Number: 

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