Hadamard’s Variational Formula for Simple Eigenvalues
Here, we study Hadamard’s variational formula for simple eigenvalues under dynamical and conformal deformations. Particularly, harmonic convexity of the first eigenvalue of the Laplacian under the mixed boundary condition is established for a two-dimensional domain, which implies several new inequalities.
Authors
- Takuya Tsuchiya (ORCID: https://orcid.org/0000-0002-0005-1663)
- Takashi Suzuki (ORCID: https://orcid.org/0000-0002-0203-5587)
Institutions
- The University of Osaka (JP)
Publication Details
- Journal
- AppliedMath
- Published
- 2024-10-05
- DOI
- https://doi.org/10.3390/appliedmath4040065
- Primary Topic
- graph theory and CDMA systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00