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^*

^*Corresponding author for this work

Tsinghua University

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1637-1648
Number of pages	12
Journal	Communications on Pure and Applied Analysis
Volume	21
Issue number	5
DOIs	https://doi.org/10.3934/cpaa.2022037
State	Published - May 2022
Externally published	Yes

Keywords

indefinite nonlinearity
Monotonicity
moving planes
nonexistence
pseudo-relativistic Schrödinger equation

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10.3934/cpaa.2022037

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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",

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doi = "10.3934/cpaa.2022037",

language = "英语",

volume = "21",

pages = "1637--1648",

journal = "Communications on Pure and Applied Analysis",

issn = "1534-0392",

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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

AN - SCOPUS:85128396921

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

Abstract

Keywords

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