MONOTONICITY AND NONEXISTENCE OF POSITIVE SOLUTIONS FOR PSEUDO-RELATIVISTIC EQUATION WITH INDEFINITE NONLINEARITY

Yuxia Guo; Shaolong Peng

doi:10.3934/cpaa.2022037

MONOTONICITY AND NONEXISTENCE OF POSITIVE SOLUTIONS FOR PSEUDO-RELATIVISTIC EQUATION WITH INDEFINITE NONLINEARITY

Yuxia Guo
, Shaolong Peng^*

^*此作品的通讯作者

Tsinghua University

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

In this paper, we consider the following general pseudo-relativistic Schrödinger equation with indefinite nonlinearities: {equation presented}, in R^N, where s ∈ (0, 1), mass m > 0 and a is a non-decreasing functions. We prove the nonexistence and the monotonicity of the positive bounded solution for the above equation via the direct method of moving planes.

源语言	英语
页（从-至）	1637-1648
页数	12
期刊	Communications on Pure and Applied Analysis
卷	21
期	5
DOI	https://doi.org/10.3934/cpaa.2022037
出版状态	已出版 - 5月 2022
已对外发布	是

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title = "MONOTONICITY AND NONEXISTENCE OF POSITIVE SOLUTIONS FOR PSEUDO-RELATIVISTIC EQUATION WITH INDEFINITE NONLINEARITY",

abstract = "In this paper, we consider the following general pseudo-relativistic Schr{\"o}dinger equation with indefinite nonlinearities: \{equation presented\}, in RN, where s ∈ (0, 1), mass m > 0 and a is a non-decreasing functions. We prove the nonexistence and the monotonicity of the positive bounded solution for the above equation via the direct method of moving planes.",

keywords = "indefinite nonlinearity, Monotonicity, moving planes, nonexistence, pseudo-relativistic Schr{\"o}dinger equation",

author = "Yuxia Guo and Shaolong Peng",

year = "2022",

month = may,

doi = "10.3934/cpaa.2022037",

language = "英语",

volume = "21",

pages = "1637--1648",

journal = "Communications on Pure and Applied Analysis",

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AU - Guo, Yuxia

AU - Peng, Shaolong

PY - 2022/5

Y1 - 2022/5

N2 - In this paper, we consider the following general pseudo-relativistic Schrödinger equation with indefinite nonlinearities: {equation presented}, in RN, where s ∈ (0, 1), mass m > 0 and a is a non-decreasing functions. We prove the nonexistence and the monotonicity of the positive bounded solution for the above equation via the direct method of moving planes.

AB - In this paper, we consider the following general pseudo-relativistic Schrödinger equation with indefinite nonlinearities: {equation presented}, in RN, where s ∈ (0, 1), mass m > 0 and a is a non-decreasing functions. We prove the nonexistence and the monotonicity of the positive bounded solution for the above equation via the direct method of moving planes.

KW - indefinite nonlinearity

KW - Monotonicity

KW - moving planes

KW - nonexistence

KW - pseudo-relativistic Schrödinger equation

UR - https://www.scopus.com/pages/publications/85128396921

U2 - 10.3934/cpaa.2022037

DO - 10.3934/cpaa.2022037

M3 - 文章

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SN - 1534-0392

VL - 21

SP - 1637

EP - 1648

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 5

ER -

MONOTONICITY AND NONEXISTENCE OF POSITIVE SOLUTIONS FOR PSEUDO-RELATIVISTIC EQUATION WITH INDEFINITE NONLINEARITY

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