Chen, YutongSu, JiabaoYan, Huanhong2022-07-272022-07-272017-09-29Chen, Y., Su, J., & Yan, H. (2017). Existence and multiplicity of solutions for nonlinear equations involving the square root of the Laplacian. <i>Electronic Journal of Differential Equations, 2017</i>(234), pp. 1-26.1072-6691https://hdl.handle.net/10877/16003This paper deals with the existence and multiplicity results for fractional problem involving the square root of the Laplacian A1/2 in a bounded domain with zero Dirichlet boundary conditions by Morse theory and critical groups for a C1 functional at both isolated critical points and infinity.Text26 pages1 file (.pdf)enAttribution 4.0 InternationalFractional LaplacianVariational methodsCritical groupsMorse theoryArticle