Nonlinear Neumann eigenvalues in outward cuspidal domains with weighted measure
Abstract We consider the nonlinear Neumann eigenvalue problem in outward cuspidal domains with a weighted measure. Using composition operators on Sobolev spaces, we establish embeddings of Sobolev spaces into weighted Lebesgue spaces. These embeddings give the solvability of the Neumann spectral problem in this setting and provide estimates for the corresponding weighted Neumann eigenvalues.
Authors
- Alexander Menovschikov (ORCID: https://orcid.org/0000-0003-3985-7290)
- Alexander Ukhlov (ORCID: https://orcid.org/0000-0001-5560-2488)
Institutions
- National Research University Higher School of Economics (RU)
- Ben-Gurion University of the Negev (IL)
Publication Details
- Journal
- Rendiconti del Circolo Matematico di Palermo Series 2
- Published
- 2026-04-21
- DOI
- https://doi.org/10.1007/s12215-026-01408-8
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ben-Gurion University of the Negev