The role of topology and capacity in some bounds for principal frequencies
From MaRDI portal
Publication:6604716
DOI10.1007/s12220-024-01742-2MaRDI QIDQ6604716
Francesco Bozzola, Lorenzo Brasco
Publication date: 13 September 2024
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
capacityinradiustorsional rigidityPoincaré-Sobolev inequalityMoser-Trudinger inequalityCheeger's constantBuser's inequality
Eigenvalue problems for linear operators (47A75) Systems of functional equations and inequalities (39B72) Fractional partial differential equations (35R11)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- On the Cheeger sets in strips and non-convex domains
- The Cheeger constant of curved strips
- A priori estimate for the first eigenvalue of the \(p\)-Laplacian.
- Estimate on the fundamental frequency of a drum
- Sur la frequence fondamentale d'une membrane vibrante: evaluations par defaut et principe de maximum
- Brownian motion and eigenvalues for the Dirichlet Laplacian
- Simplicity of the principal eigenvalue for indefinite quasilinear problems
- On the role of convexity in isoperimetry, spectral gap and concentration
- The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
- A note on Hayman's theorem on the bass note of a drum
- Brownian motion and the fundamental frequency of a drum
- Elliptic partial differential equations of second order
- The Cheeger constant of a Jordan domain without necks
- The Cheeger constant of curved tubes
- The \(\infty\)-eigenvalue problem
- A direct uniqueness proof for equations involving the \(p\)-Laplace operator
- A remark on optimal weighted Poincaré inequalities for convex domains
- Dimensional lower bounds for contact surfaces of Cheeger sets
- A comparison principle for the Lane-Emden equation and applications to geometric estimates
- On principal frequencies and isoperimetric ratios in convex sets
- Weighted Poincaré inequalities on convex domains
- A natural approach to the asymptotic mean value property for the \(p\)-Laplacian
- The first eigenvalue of the Laplacian, isoperimetric constants, and the max flow min cut theorem
- Compact Sobolev imbeddings for pepper sets
- Bounds on the principal frequency of the \(p\)-Laplacian
- An inequality à la Szegő-Weinberger for the \(p\)-Laplacian on convex sets
- Remarks on the Moser–Trudinger inequality
- Reverse Cheeger inequality for planar convex sets
- MOSER–TRUDINGER INEQUALITY ON CONFORMAL DISCS
- An Overview on the Cheeger Problem
- The First Eigenvalue of the Laplacian for Plane Domains
- A note on the isoperimetric constant
- Toward a Precise Smoothness Hypothesis in Sard's Theorem
- Some bounds for principal frequency
- Symmetric Decreasing Rearrangement Is Sometimes Continuous
- On a Two-Dimensional Elliptic Problem with Large Exponent in Nonlinearity
- A Simple Analytic Proof of an Inequality by P. Buser
- Morse-Sard theorem in Sobolev spaces
- A First Course in Sobolev Spaces
- Best constants in Poincar\'e inequalities for convex domains
- On weighted $L^p$-Hardy inequality on domains in $\mathbb{R}^n$
- On principal frequencies and inradius in convex sets
- Principal frequency of the p-Laplacian and the inradius of Euclidean domains
- Convex Bodies The Brunn-MinkowskiTheory
- Variational Methods
- A lower estimation of the principal frequencies of simply connected membranes
- Sobolev Spaces
- Variational problems with a \(p\)-homogeneous energy
- An optimal lower bound in fractional spectral geometry for planar sets with topological constraints
- Sobolev embeddings and distance functions
This page was built for publication: The role of topology and capacity in some bounds for principal frequencies
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6604716)