Volume 10, Number 1, 2020, Pages 131139 DOI：10.11948/20190017 
Infinitely many solutions for critical fractional equation with signchanging weight function 
Wei Chen,Chunlei Tang 
Keywords:Fractional Schrodinger equations, critical exponent, signchanging weight function, symmetric Mountain Pass Theorem. 
Abstract: 
In this work, we consider the fractional Schrodinger type equations with critical exponent, concave nonlinearity and signchanging weight function on $\mathbb{R}^N$. With the aid of the symmetric Mountain Pass Theorem, we prove this problem has infinitely many small energy solutions. 
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