Eigenvalue problems with unbalanced growth
We consider a nonlinear eigenvalue problem driven by the nonautonomous ( p , q ) -Laplacian with unbalanced growth. Using suitable Rayleigh quotients and variational tools, we show that the problem has a continuous spectrum which is an upper half line and we also show a nonexistence result for a lower half line.
Authors
- Nikolaos S. Papageorgiou (ORCID: https://orcid.org/0000-0003-4800-1187)
- Nejmeddine Chorfi (ORCID: https://orcid.org/0000-0001-8833-6585)
- Vicenţiu D. Rădulescu (ORCID: https://orcid.org/0000-0003-4615-5537)
Publication Details
- Journal
- Applied Mathematics Letters
- Published
- 2025-03-18
- DOI
- https://doi.org/10.1016/j.aml.2025.109548
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministerul Cercetării, Inovării şi Digitalizării
- King Saud University
- Ministry of Education and Research, Romania
- Deanship of Scientific Research, King Saud University