Multiple solutions for nonlinear boundary value problems of Kirchhoff type on a double phase setting

  • This paper deals with some classes of Kirchhoff type problems on a double phase setting and with nonlinear boundary conditions. Under general assumptions, we provide multiplicity results for such problems in the case when the perturbations exhibit a suitable behavior in the origin and at infinity, or when they do not necessarily satisfy the Ambrosetti–Rabinowitz condition. To this aim, we combine variational methods, truncation arguments and topological tools.

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Metadaten
Author:Alessio Fiscella, Greta MarinoGND, Andrea Pinamonti, Simone Verzellesi
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/101923
ISSN:1139-1138OPAC
ISSN:1988-2807OPAC
Parent Title (Spanish):Revista Matemática Complutense
Publisher:Springer Science and Business Media LLC
Type:Article
Language:English
Year of first Publication:2023
Publishing Institution:Universität Augsburg
Release Date:2023/02/13
Tag:General Mathematics
DOI:https://doi.org/10.1007/s13163-022-00453-y
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Inverse Probleme
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Latest Publications (not yet published in print):Aktuelle Publikationen (noch nicht gedruckt erschienen)
Licence (German):CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand)