New Existence of Solutions for the Fractional p-Laplacian Equations with Sign-Changing Potential and Nonlinearity

作者：Cheng, Bitao^*; Tang, Xianhua

来源：Mediterranean Journal of Mathematics, 2016, 13(5): 3373-3387.

DOI：10.1007/s00009-016-0691-y

• Fractional p-Laplacian equations
• sign-changing potential and nonlinearity
• variational methods

In the present paper, we consider the fractional p-Laplacian equation @@@ where p >= 2, N >= 2, 0 < s < 1, V. C( R-N, R) and f. C( R-N x 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.

• 出版日期2016-10
• 单位中南大学; 曲靖师范学院