Ground state solutions for quasilinear Schrödinger equations with critical Berestycki–Lions nonlinearities
IF 0.5
4区 数学
Q3 MATHEMATICS
引用次数: 0
Abstract
We consider the quasilinear Schrödinger equation involving a general nonlinearity at critical growth. By using Jeanjean’s monotonicity trick and the Pohozaev identity we get the existence results that generalize an earlier work [H. Liu and L. Zhao, Existence results for quasilinear Schrödinger equations with a general nonlinearity, Commun. Pure Appl. Anal., 19(6):3429–3444, 2020] about the subcritical case to the critical case.
具有临界贝里斯基-狮子非线性的准线性薛定谔方程的基态解
我们考虑的是涉及临界增长时一般非线性的准线性薛定谔方程。通过使用 Jeanjean 的单调性技巧和 Pohozaev 特性，我们得到了存在性结果，这些结果概括了早先的工作 [H. Liu and L. Zhao, Existence results for quasilinear Schrödinger equations with general nonlinearity at the critical growth]。Liu and L. Zhao, Existence results for quasilinear Schrödinger equations with a general nonlinearity, Commun. Pure Appl.纯应用分析，19(6):3429-3444, 2020]有关亚临界情况到临界情况的存在性结果。
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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来源期刊
CiteScore
0.90
自引率
0.00%
发文量
33
审稿时长
>12 weeks
期刊介绍：
The Lithuanian Mathematical Journal publishes high-quality original papers mainly in pure mathematics. This multidisciplinary quarterly provides mathematicians and researchers in other areas of science with a peer-reviewed forum for the exchange of vital ideas in the field of mathematics.
The scope of the journal includes but is not limited to:
Probability theory and statistics;
Differential equations (theory and numerical methods);
Number theory;
Financial and actuarial mathematics, econometrics.
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