EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A FOURTH-ORDER P-LAPLACE EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (12): 1476-1480.

• 论文 • 上一篇

EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A FOURTH-ORDER P-LAPLACE EQUATIONS

白占兵

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

收稿日期:1998-10-05 修回日期:2001-06-26 出版日期:2001-12-18 发布日期:2001-12-18

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:1998-10-05 Revised:2001-06-26 Online:2001-12-18 Published:2001-12-18

摘要/Abstract

摘要： The solvability of one dimensional fourth-order p-Laplace equations of the typewhere, g(v):=|v|^p-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 fat zero and at infinity.

中图分类号:

O175.8

白占兵. EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A FOURTH-ORDER P-LAPLACE EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(12): 1476-1480.

BAI Zhan-bing . EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A FOURTH-ORDER P-LAPLACE EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(12): 1476-1480.

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EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A FOURTH-ORDER P-LAPLACE EQUATIONS

EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A FOURTH-ORDER P-LAPLACE EQUATIONS

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