一类高阶拟线性椭圆型方程奇摄动广义边值问题

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A Class of Singularly Perturbed Generalized Boundary Value Problems for Quasilinear Elliptic Equation of Higher Order

1.
Department of Mathematics, Anhui Normal University, Wuhu 241000, P R China;
2.
Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang 313000, P R China

摘要: 讨论了一类拟线性椭圆型方程奇摄动广义边值问题.在适当的条件下,研究了Dirichlet问题广义解的存在、唯一性及其渐近性态.
- 椭圆型方程 /
- 奇异摄动 /
- 广义解
Abstract: The singularly perturbed generalized boundary value problems for the quasilinear 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.
- elliptic equation /
- singular perturbation /
- generalized solution

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