Existence and multiplicity of solutions for nonlinear equations involving the square root of the Laplacian
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Date
2017-09-29
Authors
Chen, Yutong
Su, Jiabao
Yan, Huanhong
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This 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.
Description
Keywords
Fractional Laplacian, Variational methods, Critical groups, Morse theory
Citation
Chen, 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.
Rights
Attribution 4.0 International