Normalized solutions to a quasilinear equation involving critical Sobolev exponent

Normalized solutions to a quasilinear equation involving critical Sobolev exponent | 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 Search Search ADVANCED SEARCH SCROLL Mathematical Methods in the Applied Sciences This is a preprint and has not been peer reviewed. Data may be preliminary. 11 January 2025 V1 Latest version Share on Normalized solutions to a quasilinear equation involving critical Sobolev exponent Authors : Nidhi and sreenadh konijeti 0000-0001-7953-7887 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.173660600.00203029/v1 Published Mathematical Methods in the Applied Sciences Version of record Peer review timeline 235 views 198 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract In this paper we study the existence and regularity results of normalized solutions to the following quasilinear elliptic Choquard equation with critical Sobolev exponent and mixed diffusion type operators: − ∆ p u +( − ∆ p ) s u = λ | u | p − 2 u + | u | p ∗ − 2 u + µ ( I α ∗ | u | q ) | u | q − 2 u in R N, ∫ R N | u | p dx = τ, where N ≥3, τ> 0, p 2 ( N + α N ) < q 0 is a parameter, ( − ∆ p ) s is the fractional p-laplacian operator, p ∗ = Np N − p is the critical Sobolev exponent and λ appears as a Lagrange multiplier. Supplementary Material File (ns-3.pdf) Download 594.20 KB Information & Authors Information Version history V1 Version 1 11 January 2025 Peer review timeline Published Mathematical Methods in the Applied Sciences Version of Record 11 Oct 2025 Published Copyright This work is licensed under a Non Exclusive No Reuse License. Collection Mathematical Methods in the Applied Sciences Keywords choquard equation critical growth existence results hölder regularity local and nonlocal operator normalized solutions Authors Affiliations Nidhi Indian Institute of Technology Delhi View all articles by this author sreenadh konijeti 0000-0001-7953-7887 [email protected] Indian Institute of Technology Delhi View all articles by this author Metrics & Citations Metrics Article Usage 235 views 198 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Nidhi, sreenadh konijeti. Normalized solutions to a quasilinear equation involving critical Sobolev exponent. Authorea . 11 January 2025. DOI: https://doi.org/10.22541/au.173660600.00203029/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 . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. 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