Existence of solutions for Klein-Gordon-Born-Infeld system with steep potential well

Existence of solutions for Klein-Gordon-Born-Infeld system with steep potential well | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 8 June 2024 V1 Latest version Share on Existence of solutions for Klein-Gordon-Born-Infeld system with steep potential well Authors : Mao-Jun Liao 0009-0004-0688-8511 , Lin Li [email protected] , and Shang-Jie Chen Authors Info & Affiliations https://doi.org/10.22541/au.171785639.94010821/v1 214 views 181 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract In this paper we consider the following Klein-Gordon equation coupled with Born-Infeld theory { − ∆ u +( λA ( x )+ 1 ) u − ( 2 ω + ϕ ) ϕu = f ( x, u ) in R 3, ∆ ϕ + β ∆ 4 ϕ = 4 π ( ω + ϕ ) u 2 in R 3, where f may be a superlinear term, or it may be an asymptotically linear term. When f satisfies the superlinear conditions, we can obtain the existence of a ground state solution. When f satisfies the asymptotic conditions, we prove the existence of positive solutions based on variational methods and some analytical techniques. In addition, we will study the properties of decay estimates and asymptotic behavior for the positive solution. Supplementary Material File (kgbi三.pdf) Download 133.99 KB Information & Authors Information Version history V1 Version 1 08 June 2024 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords ground state solution positive solution variational methods Authors Affiliations Mao-Jun Liao 0009-0004-0688-8511 Chongqing Technology and Business University View all articles by this author Lin Li [email protected] Chongqing Technology and Business University View all articles by this author Shang-Jie Chen Chongqing Technology and Business University View all articles by this author Metrics & Citations Metrics Article Usage 214 views 181 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Mao-Jun Liao, Lin Li, Shang-Jie Chen. Existence of solutions for Klein-Gordon-Born-Infeld system with steep potential well. Authorea . 08 June 2024. DOI: https://doi.org/10.22541/au.171785639.94010821/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. 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