具非线性源和非局部边值条件的一维p-Laplace方程非负非平凡解的存在性

具非线性源和非局部边值条件的一维p-Laplace方程非负非平凡解的存在性

柯媛元, 黄锐, 王春朋

吉林大学数学研究所, 长春 130012

收稿日期:2004-04-20 修回日期:1900-01-01 出版日期:2004-07-26 发布日期:2004-07-26
通讯作者: 柯媛元

Existence of non-trivial nonnegative solutions ofthe one-dimensional p-Laplacian equation withnonlinear sources and nonlocal boundary condition

KE Yuan-yuan, HUANG Rui, WANG Chun-peng

Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2004-04-20 Revised:1900-01-01 Online:2004-07-26 Published:2004-07-26
Contact: KE Yuan-yuan

摘要/Abstract

摘要： 研究一类具非线性源和非局部边值条件的一维p-L aplace方程, 利用锥不动点定理证明了非负非平凡解的存在性.

关键词: 非局部边值问题, 非负非平凡解, 锥不动点定理

Abstract: The present paper deals with the existence of non-trivial nonnegative solutions of a nonlocal boundary value problem for the p-Laplacian equation with nonlinear sources. The proof is based on the fixed point theorem in a cone.

Key words: nonlocal boundary value problem, non-trivial nonnegat ive solution, fixed point theorem in a cone

中图分类号:

O175.8

柯媛元, 黄锐, 王春朋. 具非线性源和非局部边值条件的一维p-Laplace方程非负非平凡解的存在性[J]. J4, 2004, 42(03): 359-360.

KE Yuan-yuan, HUANG Rui, WANG Chun-peng. Existence of non-trivial nonnegative solutions ofthe one-dimensional p-Laplacian equation withnonlinear sources and nonlocal boundary condition[J]. J4, 2004, 42(03): 359-360.

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