The existence of a solution for a second-order p-Laplacian boundary value problem at resonance with two dimensional kernel will be considered in this paper. A semi-projector, the Ge and Ren extension of Mawhin’s coincidence degree theory, and algebraic processes will be used to establish existence results, while an example will be given to validate our result.

中文翻译：

---

二维核半线上共振p-Laplacian二阶m点边值问题的解的存在性

本文将考虑在二维核共振下存在二阶p-Laplacian边值问题的解的存在性。一个半投影仪，即Mawhin巧合度理论的Ge和Ren扩展，以及代数过程来确定存在性结果，并给出一个例子来验证我们的结果。