Existence of infinitely many high energy solutions for a fractional Schrödinger equation in

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• 作者：Sofiane Khoutir ^{sofiane_math@csu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Haibo Chen ; ^{math_chb@csu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Fractional Schrö ; dinger equations ; Variational methods ; High energy solution ; Symmetric Mountain Pass Theorem
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：61
• 期：Complete
• 页码：156-162
• 全文大小：574 K

文摘

In this paper, we study the following fractional Schrödinger equations where s∈(0,1)$s\in (0,1)$, N>2s$N>2s$, (−Δ)^s${(-\Delta )}^s$ stands for the fractional Laplacian. Under more relaxed assumption on f(x,u)$f(x,u)$, we obtain a new existence result of infinitely many high energy solutions via Symmetric Mountain Pass Theorem, which unifies and improves Theorem 1.2. in Teng (2015).