Solutions of the Cheeger problem via torsion functions
From MaRDI portal
Publication:541251
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the selection of maximal Cheeger sets.
- On a weighted total variation minimization problem
- Rearrangements and convexity of level sets in PDE
- Regularity for a more general class of quasilinear equations
- Best constant in Sobolev inequality
- Area minimizing sets subject to a volume constraint in a convex set
- Generalized Cheeger sets related to landslides
- The first eigenvalue of the Laplacian, isoperimetric constants, and the max flow min cut theorem
- Linear and quasilinear elliptic equations
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- On a familiy of torsional creep problems.
- DIRICHLET PROBLEMS FOR THE 1-LAPLACE OPERATOR, INCLUDING THE EIGENVALUE PROBLEM
- Boundary regularity for solutions of degenerate elliptic equations
- Plate Failure under Pressure
- Numerical approximation of the first eigenpair of thep-laplacian using finite elements and the penalty method
- The blocking of an inhomogeneous Bingham fluid. Applications to landslides
- Uniqueness of the Cheeger set of a convex body
- Uniqueness of the Cheeger set of a convex body
This page was built for publication: Solutions of the Cheeger problem via torsion functions