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一类非线性边值问题正解存在的充分条件
Sufficient Conditions for the Existence of Positive Solutions for a Class of Nonlinear Boundary Value Problems
【摘要】 利用锥上的不动点定理研究了一类具有p Laplacian算子型奇异边值问题的正解,得到了在f和g同为超(次)线性或一个为超线性,另一个为次线性的情形下正解存在的充分条件,推广了一些已知结果.
【Abstract】 By using the fixed point theorem on cones,the existence of positive solutions for a class of singular boundary value problems with p-Laplacian operator is studied.Sufficient conditions for the existence of positive solutions are obtained under the conditions that f and g are both superlinear(sublinear),or one is superlinear,the other is sublinear,which generalize some known results.
【关键词】 pLaplacian算子;
奇异边值问题;
锥;
【Key words】 p-Laplacian operator; singular boundary value problems; cones;
【Key words】 p-Laplacian operator; singular boundary value problems; cones;
【基金】 国家自然科学基金资助项目(10471075);山东省自然科学基金资助项目(Y2003A01);山东省教育厅科技计划项目(J02P01)
- 【文献出处】 烟台师范学院学报(自然科学版) ,Yantai Normal University Journal(Natural Science) , 编辑部邮箱 ,2005年02期
- 【分类号】O175.8
- 【下载频次】31