一类带有p-Laplacian算子的分数阶差分方程的多重解

Multiple solutions for a class of fractional difference equations involving the p-Laplacian operator

研究了一类带有p-Laplacian算子并依赖于正参数λ的分数阶差分方程的边值问题.利用变分法和带有强制条件的临界点定理,得到了当正参数λ属于某个确定区间时该边值问题至少有3个解的结果.

We studied a class of fractional difference equations with boundary value conditions involving the p-Laplacian operator and depending on a positive real parameterλ.By using variational methods and the critical points theorem with coercive condition,the existence theorem of at least three solutions for this fractional boundary value problem is obtained when the positive parameterλbelongs to some determined interval.