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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| Author: | Alessio Fiscella, Greta MarinoGND, Andrea Pinamonti, Simone Verzellesi |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1019236 |
| Frontdoor URL | https://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: | 2024 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2023/02/13 |
| Tag: | General Mathematics |
| Volume: | 37 |
| First Page: | 205 |
| Last Page: | 236 |
| 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 |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
