Cover Image

Maximization of the efficiency of the first Dirichlet eigenfunction and improved eigenvalue inequalities

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Della Pietra, Francesco
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs Optimization and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes
by: Della Pietra, Francesco, et al.
Published: (2020)

On the vanishing of eigenfunctions of the Laplacian on tori
by: Germain, Pierre, et al.
Published: (2024)

Upper and lower bounds for the first Robin eigenvalue of nonlinear elliptic operators
by: Barbato, Rosa, et al.
Published: (2024)

Pólya-type estimates for the first Robin eigenvalue of elliptic operators
by: Della Pietra, F.
Published: (2024)

On the optimization of the first weighted eigenvalue of the fractional Laplacian
by: Ghosh, Mrityunjoy
Published: (2023)

Mean field first order optimality condition under low regularity of controls
by: Almi, Stefano, et al.
Published: (2025)

Optimisation of space-time periodic eigenvalues
by: Bogosel, Beniamin, et al.
Published: (2025)

On the first Robin eigenvalue of the Finsler $p$-Laplace operator as $p\to 1$
by: Barbato, Rosa, et al.
Published: (2023)

Hadamard's inequality in the mean
by: Bevan, Jonathan, et al.
Published: (2023)

Saturation phenomena for some classes of nonlinear nonlocal eigenvalue problems
by: Della Pietra, Francesco, et al.
Published: (2019)

Observability inequalities for heat equations with potentials
by: Zhu, Jiuyi, et al.
Published: (2024)

Some reverse inequality in optimal mass transportation
by: De Pascale, Luigi, et al.
Published: (2026)

Is the Faber-Krahn inequality true for the Stokes operator?
by: Henrot, Antoine, et al.
Published: (2024)

Reverse isoperimetric inequality for the lowest Robin eigenvalue of a triangle
by: Krejcirik, David, et al.
Published: (2022)

The peak heat flux conjecture for the first Dirichlet eigenmode of convex planar domains
by: Wang, Zijian, et al.
Published: (2026)

Input-to-state stabilization of $1$-D parabolic equations with Dirichlet boundary disturbances under boundary fixed-time control
by: Zheng, Jun, et al.
Published: (2024)

Approximate Controllability Problems for the Heat Equation in a Half-Plane Controlled by the Dirichlet Boundary Condition with a Bounded Control
by: Fardigola, Larissa, et al.
Published: (2025)

Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem
by: Chen, Ziang, et al.
Published: (2024)

Two-layers neural networks for Schr{ö}dinger eigenvalue problems
by: Dus, Mathias, et al.
Published: (2024)

A new partial differential nonlinear system containing quasivariational and parabolic variational inequalities and its application
by: Li, Wei, et al.
Published: (2026)

A novel necessary and sufficient condition for the stability of $2\times 2$ first-order linear hyperbolic systems
by: Balogoun, Ismaïla, et al.
Published: (2024)

Some remarks on Linear-quadratic closed-loop games with many players
by: Cirant, Marco, et al.
Published: (2024)

Rate of convergence for first-order singular perturbation problems: Hamilton-Jacobi-Isaacs equations and mean field games of acceleration
by: Cannarsa, Piermarco, et al.
Published: (2024)

Risk-averse optimal control of random elliptic variational inequalities
by: Alphonse, Amal, et al.
Published: (2022)

On the second Dirichlet eigenvalue of some nonlinear anisotropic elliptic operators
by: Della Pietra, Francesco, et al.
Published: (2017)

Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications
by: Tautenhahn, Martin, et al.
Published: (2025)

Growth estimates on optimal transport maps via concentration inequalities
by: Fathi, Max
Published: (2024)

Free energy Wasserstein gradient flow and their particle counterparts: toy model, (degenerate) PL inequalities and exit times
by: Monmarché, Pierre
Published: (2025)

A Pontryagin Maximum Principle for agent-based models with convex state space
by: Almi, Stefano, et al.
Published: (2024)

Quantitative isoperimetric inequalities for classical capillarity problems
by: Pascale, Giulio, et al.
Published: (2024)

Sharp estimates for the first Robin eigenvalue of nonlinear elliptic operators
by: Della Pietra, Francesco, et al.
Published: (2022)

A note on the failure of the Faber-Krahn inequality for the vector Laplacian
by: Krejcirik, David, et al.
Published: (2024)

A sharp weighted anisotropic Poincaré inequality for convex domains
by: Della Pietra, Francesco, et al.
Published: (2017)

Numerical optimisation of Dirac eigenvalues
by: Antunes, Pedro R. S., et al.
Published: (2024)

Optimal control problems driven by nonlinear degenerate Fokker-Planck equations
by: Anceschi, Francesca, et al.
Published: (2024)

A saturation phenomenon for a nonlinear nonlocal eigenvalue problem
by: Della Pietra, Francesco, et al.
Published: (2016)

Stochastic optimal self-path-dependent control: A new type of variational inequality and its viscosity solution
by: Guo, Mingxin, et al.
Published: (2024)

Uniform stability in the Euclidean isoperimetric problem for the Allen--Cahn energy
by: Maggi, Francesco, et al.
Published: (2022)

Optimisation and monotonicity of the second Robin eigenvalue on a planar exterior domain
by: Krejcirik, David, et al.
Published: (2023)

Asymptotic behavior of a diffused interface volume-preserving mean curvature flow
by: Bonforte, Matteo, et al.
Published: (2024)