On the Dirichlet Problem for a Quasilinear Elliptic Equation with a Small Parameter

Jiang Fu-ru

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Jiang Fu-ru. On the Dirichlet Problem for a Quasilinear Elliptic Equation with a Small Parameter[J]. Applied Mathematics and Mechanics, 1981, 2(1): 21-47.

Citation:

Jiang Fu-ru. On the Dirichlet Problem for a Quasilinear Elliptic Equation with a Small Parameter[J]. Applied Mathematics and Mechanics, 1981, 2(1): 21-47.

Citation:

Jiang Fu-ru. On the Dirichlet Problem for a Quasilinear Elliptic Equation with a Small Parameter[J]. Applied Mathematics and Mechanics, 1981, 2(1): 21-47.

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On the Dirichlet Problem for a Quasilinear Elliptic Equation with a Small Parameter

Jiang Fu-ru

Fudan University, Shanghai

Received Date: 1980-02-20
Publish Date: 1981-02-15

Abstract

Abstract

The method of "boundary layer corrections" is developed to study the Dirichlet problem for a quasilinear elliptic equation in a bounded domain, when the degenerate equation has characteristics tangent to the boundary. The existence and uniqueness of solution have been proved. The uniformly valid asymptotic expansion of solution has been constructed.

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References(10)

References

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