Existence and Multiplicity of Positive Solutions for a Fourth-Order p-Laplace Equations

BAI Zhan-bing

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BAI Zhan-bing. Existence and Multiplicity of Positive Solutions for a Fourth-Order p-Laplace Equations[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1324-1328.

Citation:

BAI Zhan-bing. Existence and Multiplicity of Positive Solutions for a Fourth-Order p-Laplace Equations[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1324-1328.

Citation:

BAI Zhan-bing. Existence and Multiplicity of Positive Solutions for a Fourth-Order p-Laplace Equations[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1324-1328.

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Existence and Multiplicity of Positive Solutions for a Fourth-Order p-Laplace Equations

BAI Zhan-bing

Department of Applied Mathematics, Petroleum University(East China), Dongying, Shandong 257061, P. R. China

Received Date: 1998-10-05
Rev Recd Date: 2001-06-26
Publish Date: 2001-12-15

Abstract

Abstract

The solvability of one-dimensional fourth-order p-Laplace equations of the type (g(u"))"+λa(t)f(u)=0 0p-2v,p>1 is investigated. With cone compression/extension theorem, some existence and multiplicity results of positive solution have been required according to different growth condition of nonlinear form f at zero and at infinity.
- p-Laplacian,
- positive solution,
- cone

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References(4)

References

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