一类分数阶边值问题无穷多解的存在性

The Existence of Infinitely Many Solutions for a Class of Fractional Boundary Value Problems

运用变分法研究了一类非线性项仅在原点附近有定义的分数阶边值问题解的多重性问题,主要利用一种变化形式的对称山路引理证明了其在原点附近无穷多解的存在性,该结果丰富和完善了已有的相关结果.

The multiplicity of solutions for a class of fractional boundary value problems is studied in the paper by variational methods,where the nonlinearity is only defined near the origin.A variant of symmetric mountain pass lemma is mainly used to prove the existence of infinitely many solutions for them near the origin,which significantly enriches and improves the related results in the literature.