An isoperimetric inequality and the first Steklov eigenvalue
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Publication:1300169
DOI10.1006/jfan.1999.3402zbMath0935.58015OpenAlexW2025666073MaRDI QIDQ1300169
Publication date: 25 April 2000
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1999.3402
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The heat equation shrinks embedded plane curves to round points
- Bounds in the Neumann problem for second order uniformly elliptic operators
- Some inequalities for Stekloff eigenvalues
- A distance comparison principle for evolving curves
- The geometry of the first non-zero Stekloff eigenvalue
- Zerlegung konvexer Körper durch minimale Trennflächen.
- Some isoperimetric inequalities and eigenvalue estimates
- Sobolev and isoperimetric inequalities for riemannian submanifolds
- Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
- A Characterisation of Plane Curves of Constant Width
- Some Isoperimetric Inequalities for Harmonic Functions
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