A Priori Estimate for Maximum Modulus of Generalized Solutions of Quasi-Linear Elliptic Equations

Liang Xi-ting; Wang Xiang-dong

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Liang Xi-ting, Wang Xiang-dong. A Priori Estimate for Maximum Modulus of Generalized Solutions of Quasi-Linear Elliptic Equations[J]. Applied Mathematics and Mechanics, 1990, 11(10): 881-892.

Citation:

Liang Xi-ting, Wang Xiang-dong. A Priori Estimate for Maximum Modulus of Generalized Solutions of Quasi-Linear Elliptic Equations[J]. Applied Mathematics and Mechanics, 1990, 11(10): 881-892.

Citation:

Liang Xi-ting, Wang Xiang-dong. A Priori Estimate for Maximum Modulus of Generalized Solutions of Quasi-Linear Elliptic Equations[J]. Applied Mathematics and Mechanics, 1990, 11(10): 881-892.

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A Priori Estimate for Maximum Modulus of Generalized Solutions of Quasi-Linear Elliptic Equations

Liang Xi-ting¹,
Wang Xiang-dong²

1.
Zhongshan University, Guangzhou;
2.
Xuchang Teachers College, Xuchang, Henan

Received Date: 1989-04-08
Publish Date: 1990-10-15

Abstract

Abstract

Let G he a hounded domain in E Consider the following quasi-linear elliptic equation Although the houndedness of generalized solutions of the equation is proved for very general structural conditions, it does not supply a priori estimate for maximum modulus of solutions. In this paper an estimate to the maximum modulus is made firstly for a special case of quasi-linear elliptic equations, i.e. the and B satisfy the following structural conditions:
- quasi-linear elliptic equations,
- generalized solutions,
- maximum modulus,
- a priori estimate

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References(7)

References

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