Ground state solutions for generalized quasilinear Schrödinger equations

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-02 DOI:10.3233/asy-241913

Xiang-Dong Fang, Zhi-Qing Han

引用次数: 0

Abstract

In this paper we consider the generalized quasilinear Schrödinger equations − div ( g 2 ( u ) ∇ u ) + g ( u ) g ′ ( u ) | ∇ u | 2 + V ( x ) u = h ( x , u ) , x ∈ R N , where V and h are periodic in x i , 1 ⩽ i ⩽ N. By using variational methods, we prove the existence of ground state solutions, i.e., nontrivial solutions with least possible energy.

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广义准薛定谔方程的基态解

在本文中，我们考虑广义的准薛定谔方程 - div ( g 2 ( u )∇ u )+ g ( u ) g ′ ( u ) |∇ u | 2 + V ( x ) u = h ( x , u ) , x ∈ R N ，其中 V 和 h 在 x i 中是周期性的，1 ⩽ i ⩽ N。通过使用变分法，我们证明了基态解的存在，即具有最小可能能量的非微分解。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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