奇异二阶Neumann边值问题的多解性

Existence of multiple positive solutions for singular second order Neumann boundary value problems

利用不动点指数理论讨论了奇异二阶Neumann边值问题,在相应线性算子第一特征值的条件下,得到多个正解存在的结论,推广和改进了已有的一些结果。

Using the fixed point index in cones, the existences of multiple positive solutions for singular second order Neumaim boundary value problems are studied under some conditions concerning the first eigenvalue corresponding to the relevant linear problems. It improves and extends some results.