Ruichang Pei, Jihui Zhang, Caochuan Ma
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.
Submitted April 30, 2016. Published January 14, 2017.
Math Subject Classifications: 35J60, 35J91, 58E05.
Key Words: Fractional Laplacian; Morse theory; sign changing solution;
improved subcritical polynomial growth.
Show me the PDF file (241 KB), TEX file for this article.
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Ruichang Pei School of Mathematics and Statistics Tianshui Normal University Tianshui 741001, China email: prc211@163.com |
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Jihui Zhang Institute of Mathematics School of Mathematics and Computer Sciences Nanjing, Normal University Nanjing 210097, China email: zhangjihui@njnu.edu.cn |
| Caochuan Ma School of Mathematics and Statistics Tianshui Normal University Tianshui 741001, China email: macaoch@163.com |
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