| Volume 10, Number 1, 2020, Pages 131-139 DOI：10.11948/20190017 |
| Infinitely many solutions for critical fractional equation with sign-changing weight function |
| Wei Chen,Chunlei Tang |
| Keywords:Fractional Schrodinger equations, critical exponent, sign-changing weight function, symmetric Mountain Pass Theorem. |
| Abstract: |
| In this work, we consider the fractional Schrodinger type equations with critical exponent, concave nonlinearity and sign-changing 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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