Multiple solutions to fractional equations without the Ambrosetti-Rabinowitz condition

Multiple solutions to fractional equations without the Ambrosetti-Rabinowitz condition

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.

Bibliographic Details
Main Authors: Ruichang Pei, Jihui Zhang, Caochuan Ma
Format: Article
Language:English
Published: Texas State University 2017-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Fractional Laplacian
Morse theory
sign changing solution
improved subcritical polynomial growth
Online Access:http://ejde.math.txstate.edu/Volumes/2017/18/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2017/18/abstr.html

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