摘要本文研究如下带有临界增长的分数阶Kirchhoff方程ε2sM（ε2s-3 ∫∫R3×R3·(|u(x)?u(y)|2)/(|x-y|3+2s)dxdy）（-Δ）su+V（x）u=λW（x）f（u）+K（x）|u|2s*-2u，x ∈ R3，其中M是一个连续正的Kirchhoff函数，λ>0是一个参数，3/4<s<1，2s*：=6/（3-2s）是3维的临界指数，并且V（x），W（x）和K（x）都是正位势函数.在Kirchhoff函数M和位势函数的适当假设下，当ε>0充分小和λ足够大时，我们首先证明了上述问题正基态解的存在性.其次，证明了基态解集中在一个由位势函数所刻画的特定集合中.最后，研究了基态解的衰减估计.
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| | 通讯作者:赵富坤,E-mail:fukunzhao@163.comE-mail: fukunzhao@163.com |
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