Energy Estimates and Existence Results for a Quasilinear Periodic Boundary Value Problem

dc.authorscopusid 56224779700
dc.authorscopusid 23097829600
dc.authorscopusid 57159101400
dc.authorscopusid 55899596800
dc.contributor.author Ferrara, Massimiliano
dc.contributor.author Heidarkhani, Shapour
dc.contributor.author Moradi, Shahin
dc.contributor.author Caristi, Giuseppe
dc.date.accessioned 2024-09-11T07:39:04Z
dc.date.available 2024-09-11T07:39:04Z
dc.date.issued 2024
dc.department Okan University en_US
dc.department-temp [Ferrara, Massimiliano] Univ Mediterranea Reggio Calabria, Dept Law Econ & Human Sci, Decis LAB, Via Bianchi 2, I-89131 Reggio Di Calabria, Italy; [Ferrara, Massimiliano] Bocconi Univ, Invernizzi Ctr Res Innovat Organizat, Dept Management & Technol Strategy & Entrepreneurs, ICRIOS, Via Sarfatti,25,MI, I-20136 Milan, Italy; [Ferrara, Massimiliano] Istanbul OKAN Univ, Fac Engn & Nat Sci, Adv Soft Comp Lab, Istanbul, Turkiye; [Heidarkhani, Shapour; Moradi, Shahin] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran; [Heidarkhani, Shapour] Univ Mediterranea Reggio Calabria, Informat Engn Infrastruct & Sustainable Energy DII, Reggio Di Calabria, Italy; [Caristi, Giuseppe] Univ Messina, Dept Econ, via Verdi,75, Messina, Italy en_US
dc.description.abstract This paper focuses on the existence of solutions and energy estimates for a specific type of periodic boundary value problem. By precisely determining the parameter's localization, we demonstrate the existence of non-zero solutions and infer the presence of multiple solutions for positive parameter values. This analysis necessitates the sublinearity of the nonlinear component at both the origin and infinity. Lastly, we present a multiplicity result along with an example. The proof relies on a local minimum theorem for differentiable functionals. en_US
dc.description.sponsorship Mission 4, Component 2, Investment 1.5 [2021/3277, ECS0000009] en_US
dc.description.sponsorship This work was funded by the Next Generation EU-Italian NRRP, Mission 4, Component 2, Investment 1.5, call for the creation and strengthening of 'Innovation Ecosystems', building 'Territorial R &D Leaders' (Directorial Decree n. 2021/3277) - project Tech4You - Technologies for climate change adaptation and quality of life improvement, n. ECS0000009. This work reflects only the authors' views and opinions, neither the Ministry for University and Research nor the European Commission can be considered responsible for them. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.citationcount 0
dc.identifier.doi 10.1007/s00009-024-02669-2
dc.identifier.issn 1660-5446
dc.identifier.issn 1660-5454
dc.identifier.issue 4 en_US
dc.identifier.scopus 2-s2.0-85195597989
dc.identifier.scopusquality Q2
dc.identifier.uri https://doi.org/10.1007/s00009-024-02669-2
dc.identifier.uri https://hdl.handle.net/20.500.14517/6157
dc.identifier.volume 21 en_US
dc.identifier.wos WOS:001243600100002
dc.identifier.wosquality Q2
dc.language.iso en
dc.publisher Springer Basel Ag en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 2
dc.subject quasilinear periodic boundary value problem en_US
dc.subject weak solution en_US
dc.subject energy estimates en_US
dc.subject variational methods en_US
dc.title Energy Estimates and Existence Results for a Quasilinear Periodic Boundary Value Problem en_US
dc.type Article en_US
dc.wos.citedbyCount 2

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