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Curved nonlinear waveguides

dc.contributor.authorBaldelli, Laura
dc.contributor.authorKrejčiřík, David
dc.date.accessioned2025-04-25T09:28:51Z
dc.date.available2025-04-25T09:28:51Z
dc.date.issued2025-09
dc.identifier.citationL. Baldelli and D. Krejčiřík. Nonlinear Analysis 258 (2025) 113814. https://doi.org/10.1016/j.na.2025.113814es_ES
dc.identifier.urihttps://hdl.handle.net/10481/103798
dc.descriptionD.K. was supported by the EXPRO grant No. 20-17749X of the Czech Science Foundation. This work has been partially carried out during a stay of L.B. in Prague at the Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague. She would like to express her deep gratitude to this prestigious institution for its support and warm hospitality. L.B. is member of the Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM). L.B. was partially supported by National Science Centre, Poland (Grant No. 2020/37/B/ST1/02742), by INdAM-GNAMPA Project 2023 titled Problemi ellittici e parabolici con termini di reazione singolari e convettivi (E53C22001930001) and by the IMAG-Maria de Maeztu Excellence Grant CEX2020-001105-M funded by MICINN/AEI .es_ES
dc.description.abstractThe Dirichlet -Laplacian in tubes of arbitrary cross-section along infinite curves in Euclidean spaces of arbitrary dimension is investigated. First, it is shown that the gap between the lowest point of the generalised spectrum and the essential spectrum is positive whenever the cross-section is centrally symmetric and the tube is asymptotically straight, untwisted and non-trivially bent. Second, a Hardy-type inequality is derived for unbent and non-trivially twisted tubes.es_ES
dc.description.sponsorshipCzech Science Foundation EXPRO 20-17749Xes_ES
dc.description.sponsorshipCzech Technical University in Praguees_ES
dc.description.sponsorshipNational Science Centre, Poland (2020/37/B/ST1/02742)es_ES
dc.description.sponsorshipINdAM-GNAMPA Project 2023 (E53C22001930001)es_ES
dc.description.sponsorshipMICINN/AEI IMAG-Maria de Maeztu Excellence Grant CEX2020-001105-Mes_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleCurved nonlinear waveguideses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1016/j.na.2025.113814
dc.type.hasVersionVoRes_ES


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