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MULTIPLE POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR QUASILINEAR DIFFERENTIAL EQUATIONS

ISSN号：2096-0174
期刊名称：《应用数学年刊：英文版》
时间：0
分类：O175.14[理学—数学;理学—基础数学]
作者机构：College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Dept. of Applied Math., Beijing Institute of Technology, Beijing 100081
相关基金：The project is supported by the National Natural Science Foundation of China(19871005);the Scientific Research Foundation of the Education Department of Hebei Province(2001111).

关键词： QUASILINEAR, differential, equation, positive, solution, nonlinear, boundary, value, condition, fixed, point, THEOREM, in, double, cones.

中文摘要：

We consider the boundary value problem for the second order quasilinear differential equationwhere f is allowed to change sign, φ(v) = \v\p-2v, p 】 1. Using a new fixed point theorem in double cones, we show the existence of at least two positive solutions of the boundary value problem.

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