Multiple solutions of nonlinear fractional elliptic equations via Morse theory
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Date
2017-09-16
Authors
Qi, Wei
Zhao, Lin
Yan, Xingjie
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Fractional elliptic equation, Critical point, Morse theory, Critical group, Sub-supersolutions
Citation
Qi, W., Zhao, L., & Yan, X. (2017). Multiple solutions of nonlinear fractional elliptic equations via Morse theory. Electronic Journal of Differential Equations, 2017(220), pp. 1-12.
Rights
Attribution 4.0 International