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一维p-Laplacian奇异边值问题的存在性原则
Existence Principles for Singular Boundary Value Problems of One-dimension p-Laplacian
【摘要】 利用Schauder不动点原理和非线性Leray-Schauder抉择定理建立了一维p-Laplacian奇异边值问题解的一些存在性原则,并证明了在一定条件下,一维p-Laplacian奇异边值问题解的有界性.
【Abstract】 The existence principles of the solution for the one-dimension p-Laplacian singular boundary value problem were established by using the Schauder fixed point theorem and nonlinear Leray-Schauder alterative theorem. It was proved that the solution of the one-dimension p-Laplacian singular boundary value problem is bounded under certain conditions.
【关键词】 奇异边值问题;
存在性原则;
Leray-Schauder抉择;
【Key words】 singular boundary value problem; existence principles; Leray-Schauder alternative;
【Key words】 singular boundary value problem; existence principles; Leray-Schauder alternative;
【基金】 国家自然科学基金(批准号:10171010).
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2006年03期
- 【分类号】O175.8
- 【被引频次】8
- 【下载频次】78