Multiple solutions for the fractional Laplacian problems with different asymptotic limits near infinity

作者：Chen, Yutong; Su, Jiabao^*

来源：Applied Mathematics Letters, 2018, 76: 60-65.

DOI：10.1016/j.aml.2017.07.012

• Fractional Laplacian
• Mountain pass theorem
• Cut-off technique
• Different asymptotic limits at infinity

In this paper we obtain the existence of two one-sign nontrivial solutions for the fractional Laplacian equations with the nonlinearity having different asymptotic limits at infinity via the mountain pass theorem and the cut-off techniques.

• 出版日期2018-2
• 单位首都师范大学