Abstract
In the present paper, we consider the fractional p-Laplacian equation
where \({p \geq 2, N \geq 2}\), \({0 < s < 1}\), \({V \in C(R^N, R)}\) and \({f \in C(R^N \times R, R)}\) are allowed to be sign-changing. In such a double sign-changing case, a new result on the existence of nontrivial solutions for Eq. (1.1) is obtained via variational methods, which is even new for p = 2.
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This work is partially supported by the NNFC (11571370, 11361048), YNEF (2014Z153) and YNSF (2013FD046).
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Cheng, B., Tang, X. New Existence of Solutions for the Fractional p-Laplacian Equations with Sign-Changing Potential and Nonlinearity. Mediterr. J. Math. 13, 3373–3387 (2016). https://doi.org/10.1007/s00009-016-0691-y
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DOI: https://doi.org/10.1007/s00009-016-0691-y