Pei, RuichangZhang, JihuiMa, Caochuan2022-03-212022-03-212017-01-14Pei, R., Zhang, J., & Ma, C. (2017). Multiple solutions to fractional equations without the Ambrosetti-Rabinowitz condition. <i>Electronic Journal of Differential Equations, 2017</i>(18), pp. 1-11.1072-6691https://hdl.handle.net/10877/15523In this article we study a class of fractional Laplace equations which do not satisfy the Ambrosetti-Rabinowitz condition (AR-condition). We establish the existence of three nontrivial solutions and of multiple sign changing solutions by using Morse theory.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalFractional LaplacianMorse theorySign changing solutionImproved subcritical polynomial growthArticle