Multiple solutions of nonlinear fractional elliptic equations via Morse theory

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. <i>Electronic Journal of Differential Equations, 2017</i>(220), pp. 1-12.

Rights

Attribution 4.0 International

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