MULTIPLE SOLUTIONS OF NONLINEAR FRACTIONAL ELLIPTIC EQUATIONS VIA MORSE THEORY

作者：Qi, Wei; Zhao, Lin^*; Yan, Xingjie

来源：Electronic Journal of Differential Equations, 2017, 220.

• Fractional elliptic equation
• critical point
• Morse theory
• critical group
• sub-supersolutions

This article concerns the existence and multiplicity of weak solutions of the nonlinear fractional elliptic problem. We extend some well known results of semilinear Laplacian equations to the nonlocal fractional setting. Using the variational methods based on the critical point theory, sub-supersolutions methods and Morse theory, we show that the problem has at least 6 nontrivial solutions.

• 出版日期2017-9-16
• 单位中国矿业大学（北京）