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Infinitely many solutions for critical fractional equation with sign-changing weight function
wei chen,Chun-Lei Tang
Keywords:Fractional Schr\"{o}dinger equations; Critical exponent; Sign-changing weight function; Symmetric Mountain Pass Theorem
Abstract:
      In this work, we consider the fractional Schr\"{o}dinger 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.