Solutions of the Cheeger problem via torsion functions

DOI10.1016/j.jmaa.2011.03.002zbMath1260.49080arXiv1011.3070OpenAlexW1994256306MaRDI QIDQ541251

Grey Ercole, Hamilton P. Bueno

Publication date: 6 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3070

zbMATH Keywords

Cheeger problem1-Lapiaciantorsional creep problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational problems in a geometric measure-theoretic setting (49Q20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Compact Sobolev embeddings and torsion functions ⋮ Asymptotic behavior of the \(p\)-torsion functions as \(p\) goes to 1 ⋮ Asymptotics for the principal eigenvalue of the \(p\)-Laplacian on the ball as \(p\) approaches 1 ⋮ Hardy-Lane-Emden inequalities for \(p\)-Laplacian on arbitrary domains ⋮ Torsion functions and the Cheeger problem: a fractional approach ⋮ The monotonicity of the \(p\)-torsional rigidity in convex domains ⋮ Convex duality for principal frequencies ⋮ Asymptotic behavior related to Cheeger constant for solutions of an exponentially growth equation ⋮ Overdetermined problems and relative Cheeger sets in unbounded domains ⋮ The Cheeger problem in abstract measure spaces ⋮ On two functionals involving the maximum of the torsion function ⋮ Computing the first eigenpair of the \(p\)-Laplacian in annuli ⋮ On the torsion function with Robin or Dirichlet boundary conditions ⋮ Absolute continuity of the best Sobolev constant ⋮ The Cheeger constant of curved tubes ⋮ Remarks on the behavior of the best Sobolev constants ⋮ Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants ⋮ On torsional rigidity and ground-state energy of compact quantum graphs ⋮ A Faber-Krahn inequality for the Cheeger constant of \(N\)-gons ⋮ On the resonant Lane–Emden problem for the p-Laplacian ⋮ Inequalities between torsional rigidity and principal eigenvalue of the \(p\)-Laplacian

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