具p-Laplace型算子多点共振边值问题的一个抽象结果

An Abstract Result for m-Point Boundary Value Problem at Resonance with p-Laplace-like Operators

利用度理论结合分析技巧研究了一类p-Laplace型方程共振情形下的m点边值问题解的存在性,得到解存在的一个抽象结果。使用本文结果可以在一般的条件下得出共振边值问题解存在的充分条件。

In this paper,an abstract result for p-Laplace-like equations subject to m-point boundary value problem at resonance is obtained by using degree theory and analysis technique.With the result established in the paper,one can obtain more general sufficient conditions of existence for resonance boundary value problem.