Ground state solution for the nonlinear Klein–Gordon equation coupled with Born–Infeld theory with critical exponents

Chuan Min He; Lin Li; Shang Jie Chen; Donal O’Regan

doi:10.1007/s13324-022-00661-1

Ground state solution for the nonlinear Klein–Gordon equation coupled with Born–Infeld theory with critical exponents

Chuan Min He
, Lin Li
, Shang Jie Chen
, Donal O’Regan

Mathematics

Chongqing Technology and Business University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

10 Citations (Scopus)

Abstract

In this paper, we study the existence of ground state solution for nonlinear Klein–Gordon equation coupled with Born–Infeld theory when the nonlinearity exhibits critical growth. We improve previous existence results in Teng and Zhang (Nonlinear Anal 74(12):4241–4251, 2011).

Original language	English
Article number	48
Journal	Analysis and Mathematical Physics
Volume	12
Issue number	2
DOIs	https://doi.org/10.1007/s13324-022-00661-1
Publication status	Published - Apr 2022

Keywords

Born–Infeld theory
Critical growth
Klein–Gordon equation
Pohožaev identity

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10.1007/s13324-022-00661-1

Cite this

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title = "Ground state solution for the nonlinear Klein{\textendash}Gordon equation coupled with Born{\textendash}Infeld theory with critical exponents",

abstract = "In this paper, we study the existence of ground state solution for nonlinear Klein{\textendash}Gordon equation coupled with Born{\textendash}Infeld theory when the nonlinearity exhibits critical growth. We improve previous existence results in Teng and Zhang (Nonlinear Anal 74(12):4241{\textendash}4251, 2011).",

keywords = "Born{\textendash}Infeld theory, Critical growth, Klein{\textendash}Gordon equation, Poho{\v z}aev identity",

author = "He, \{Chuan Min\} and Lin Li and Chen, \{Shang Jie\} and Donal O{\textquoteright}Regan",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

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month = apr,

doi = "10.1007/s13324-022-00661-1",

language = "English",

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T1 - Ground state solution for the nonlinear Klein–Gordon equation coupled with Born–Infeld theory with critical exponents

AU - He, Chuan Min

AU - Li, Lin

AU - Chen, Shang Jie

AU - O’Regan, Donal

PY - 2022/4

Y1 - 2022/4

N2 - In this paper, we study the existence of ground state solution for nonlinear Klein–Gordon equation coupled with Born–Infeld theory when the nonlinearity exhibits critical growth. We improve previous existence results in Teng and Zhang (Nonlinear Anal 74(12):4241–4251, 2011).

AB - In this paper, we study the existence of ground state solution for nonlinear Klein–Gordon equation coupled with Born–Infeld theory when the nonlinearity exhibits critical growth. We improve previous existence results in Teng and Zhang (Nonlinear Anal 74(12):4241–4251, 2011).

KW - Born–Infeld theory

KW - Critical growth

KW - Klein–Gordon equation

KW - Pohožaev identity

UR - https://www.scopus.com/pages/publications/85126190790

U2 - 10.1007/s13324-022-00661-1

DO - 10.1007/s13324-022-00661-1

M3 - Article

AN - SCOPUS:85126190790

SN - 1664-2368

VL - 12

JO - Analysis and Mathematical Physics

JF - Analysis and Mathematical Physics

IS - 2

M1 - 48

ER -

Ground state solution for the nonlinear Klein–Gordon equation coupled with Born–Infeld theory with critical exponents

Abstract

Keywords

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