具有势阱的非局部分数阶Schrödinger方程的基态

IF 0.6 4区数学 Q3 MATHEMATICS

Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI:10.11650/tjm/220602

Ye Xue, Yunlan Wei

引用次数: 0

摘要

受Alves和Souto[2]的启发，我们研究了一类位势良好的分数阶Schrödinger方程非平凡解的存在性。考虑超线性非线性，我们通过失去单调性得到了非平凡解的存在性。此外，还建立了一个基态解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Ground States of Nonlocal Fractional Schrödinger Equations with Potentials Well

Inspired by Alves and Souto [2], we investigate the existence of nontrivial solutions to a class of fractional Schrödinger equations with potentials well. Taking the superlinear nonlinearities into consideration, we obtain the existence of nontrivial solutions by loosing monotonicity. Furthermore, a ground state solution is established.

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来源期刊

Taiwanese Journal of Mathematics 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： The Taiwanese Journal of Mathematics, published by the Mathematical Society of the Republic of China (Taiwan), is a continuation of the former Chinese Journal of Mathematics (1973-1996). It aims to publish original research papers and survey articles in all areas of mathematics. It will also occasionally publish proceedings of conferences co-organized by the Society. The purpose is to reflect the progress of the mathematical research in Taiwan and, by providing an international forum, to stimulate its further developments. The journal appears bimonthly each year beginning from 2008.