Spectral optimization for the Stekloff--Laplacian: the stability issue
By Lorenzo Brasco, Guido De Philippis, Berardo Ruffini. 2012
61 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f2b299768c17680c2e1b6afb557c03e735bc82ca
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In Civil and Structural Engineering
In Computational Theory and Mathematics
In Mathematical Physics
Citations in the corpus
- An extremal eigenvalue problem for the Wentzell-Laplace operator (2014, methodology): “Brock for the Steklov eigenvalue problem to the Ventcel eigenvalue problem and obtain a first upper bound of λ1(Ω) in terms of purely geometric quantities (we actually provide a refined version, using [5]): Theorem 1.”
- SPECTRAL GEOMETRY OF THE STEKLOV PROBLEM (2014, unknown): “A quantitative improvement of Brock’s theorem was obtained in [14] in terms of the Fraenkel asymmetry of a bounded domain Ω ⊂ R:”
- A few shape optimization results for a biharmonic Steklov problem (2015, background): “We adapt to our case a result of [8], where the authors prove a quantitative version of the Brock-Weinstock inequality for the Steklov Laplacian.”