The Existence and Uniqueness of the Decaying Positive Entire Solutions for a Class of Semilinear Elliptic Equations

Tian Genbao

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Tian Genbao. The Existence and Uniqueness of the Decaying Positive Entire Solutions for a Class of Semilinear Elliptic Equations[J]. Applied Mathematics and Mechanics, 1995, 16(8): 715-726.

Citation:

Tian Genbao. The Existence and Uniqueness of the Decaying Positive Entire Solutions for a Class of Semilinear Elliptic Equations[J]. Applied Mathematics and Mechanics, 1995, 16(8): 715-726.

Citation:

Tian Genbao. The Existence and Uniqueness of the Decaying Positive Entire Solutions for a Class of Semilinear Elliptic Equations[J]. Applied Mathematics and Mechanics, 1995, 16(8): 715-726.

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The Existence and Uniqueness of the Decaying Positive Entire Solutions for a Class of Semilinear Elliptic Equations

Tian Genbao

Shanghai Institute of Railway Technology, Shanghai 200333, P.R. China

Received Date: 1994-05-13
Publish Date: 1995-08-15

Abstract

Abstract

This paper first proves the following equations △u-m²u+f(x,u)=0,x∈Rⁿ,n≥3,m>0 existence of decaying positive entire solution, then emphatically, proves this solution's uniqueness.
- weak supersolution,
- weak subsolution,
- monotone convergencetheorem,
- nonincreasing,
- nondecreasing,
- locally Hðlder continuous.locally Lipschitz continuous,
- strong maximum principle,

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References(8)

References

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