Multiple solutions with sign information for double‐phase problems with unbalanced growth
Abstract We consider a double‐phase Dirichlet problem with unbalanced growth and a reaction term which is ‐sublinear and has partial interaction with the first eigenvalue of the weighted differential operator (nonuniform nonresonance). Using the Nehari method, we show that the problem has at least three nontrivial bounded solutions, positive, negative and nodal (sign‐changing). This paper extends and complements the main results in the recent paper Papageorgiou–Pudelko–Rădulescu ( Math. Annalen 385 (2023) 1707–1745).
Authors
- Nikolaos S. Papageorgiou (ORCID: https://orcid.org/0000-0003-4800-1187)
- Wen Zhang (ORCID: https://orcid.org/0009-0000-9559-0469)
- Vicenţiu D. Rădulescu (ORCID: https://orcid.org/0000-0003-4615-5537)
Institutions
- Jagiellonian University (PL)
- Zhejiang Normal University (CN)
- National Technical University of Athens (GR)
- Hunan University of Technology (CN)
- Romanian Academy (RO)
- Brno University of Technology (CZ)
- AGH University of Krakow (PL)
- University of Craiova (RO)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2024-12-20
- DOI
- https://doi.org/10.1112/blms.13218
- Citations
- 27
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 9.76
Funders
- National Natural Science Foundation of China
- Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province