Multiple solutions to fractional equations without the Ambrosetti-Rabinowitz condition
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Date
2017-01-14
Authors
Pei, Ruichang
Zhang, Jihui
Ma, Caochuan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Fractional Laplacian, Morse theory, Sign changing solution, Improved subcritical polynomial growth
Citation
Pei, 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.
Rights
Attribution 4.0 International