Normalized solutions for Quasilinear Schrödinger-Possion systems in bounded domains with general nonlinearities

Normalized solutions for Quasilinear Schrödinger-Possion systems in bounded domains with general nonlinearities | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 28 January 2026 V1 Latest version Share on Normalized solutions for Quasilinear Schrödinger-Possion systems in bounded domains with general nonlinearities Authors : Li Chen 0009-0007-8817-2542 and li wang 0000-0002-8370-9327 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.176957479.97213798/v1 120 views 69 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract In this paper, by adapting the perturbation method, we study normalized standing wave solutions for the following nonlinear Schrödinger-Bopp-Podolsky system: { – ∆ u + ϕ u = G u + f ( u ) in Ω, – ∆ ϕ – ε 4 ∆ 4 ϕ = u 2 in Ω, u = ϕ = 0 on ∂ Ω, where Ω ⊂ R 3 is a smooth bounded domain, a >0, G∈R is the Lagrange multiplier associated with the L 2 -mass constraint ∫ Ω u 2 d x = µ, and f :R→R is a continuous function satisfying some technical conditions. In particular, we prove the existence of normalized solutions for small µ . Moreover, when f is odd, we obtain multiplicity of normalized solutions. Supplementary Material File (normalized_solutions_for_quasilinear_schro_dinger_possion_systems_in_bounded_domains_with_general_nonlinearities.pdf) Download 331.21 KB Information & Authors Information Version history V1 Version 1 28 January 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords bounded domain general nonlinearities normalized solutions perturbation method quasilinear schrödinger-possion systems Authors Affiliations Li Chen 0009-0007-8817-2542 East China JiaoTong University View all articles by this author li wang 0000-0002-8370-9327 [email protected] East China JiaoTong University View all articles by this author Metrics & Citations Metrics Article Usage 120 views 69 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Li Chen, li wang. Normalized solutions for Quasilinear Schrödinger-Possion systems in bounded domains with general nonlinearities. Authorea . 28 January 2026. DOI: https://doi.org/10.22541/au.176957479.97213798/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. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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