Isoperimetric inequalities in potential theory
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Publication:1320305
DOI10.1007/BF01047833zbMath0796.31003OpenAlexW4237489067MaRDI QIDQ1320305
Wolfhard Hansen, Nikolai S. Nadirashvili
Publication date: 5 October 1994
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01047833
Estimates of eigenvalues in context of PDEs (35P15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
Related Items (11)
On the Hong-Krahn-Szego inequality for the \(p\)-Laplace operator ⋮ Stability results for some fully nonlinear eigenvalue estimates ⋮ A quantitative stability inequality for fractional capacities ⋮ Quantitative Obata's theorem ⋮ Quantitative inequality for the eigenvalue of a Schrödinger operator in the ball ⋮ Quantitative inequalities for the expected lifetime of Brownian motion ⋮ Isoperimetric inequalities for capacities in the plane ⋮ On the higher eigenvalues for the \(\infty\)-eigenvalue problem ⋮ A note on Cheeger sets ⋮ On the variational \(p\)-capacity problem in the plane ⋮ Improved energy bounds for Schrödinger operators
Cites Work
- Unnamed Item
- Bonnesen's inequality for the isoperimetric deficiency of closed curves in the plane
- Rearrangements and convexity of level sets in PDE
- Convexity of solutions of semilinear elliptic equations
- Isoperimetric inequalities for capacities in the plane
- Capacitary functions in convex rings
- Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n
- Convexity properties of solutions to some classical variational problems
- Isoperimetric Inequalities and Their Applications
- Inequalities for the Capacity of a Condenser
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