Hardy inequality on domains

PD Lamberti, Y Pinchover - arXiv preprint arXiv:1611.00563, 2016 - arxiv.org
We consider the $ L^ p $ Hardy inequality involving the distance to the boundary of a
domain in the $ n $-dimensional Euclidean space with nonempty compact boundary. We …

Optimal Hardy inequalities in cones

B Devyver, Y Pinchover, G Psaradakis - Proceedings of the Royal …, 2017 - cambridge.org
Let Ω be an open connected cone in ℝn with vertex at the origin. Assume that the Operatoris
subcritical in Ω, where δΩ is the distance function to the boundary of Ω and μ⩽ 1/4. We show …

EIGENVALUES OF THE FINSLER p‐LAPLACIAN ON VARYING DOMAINS

G di Blasio, PD Lamberti - Mathematika, 2020 - Wiley Online Library
We study the dependence of the first eigenvalue of the Finsler p‐Laplacian and the
corresponding eigenfunctions on perturbation of the domain and we generalize a few results …

On the Hardy constant of some non-convex planar domains

G Barbatis, A Tertikas - Geometric Methods in PDE's, 2015 - Springer
On the Hardy constant of some non-convex planar domains Page 29 On the Hardy Constant of
Some Non-convex Planar Domains Gerassimos Barbatis and Achilles Tertikas Dedicated to …

Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold

M Paschalis - Proceedings of the Royal Society of Edinburgh Section …, 2024 - cambridge.org
We investigate the continuity and differentiability of the Hardy constant with respect to
perturbations of the domain in the case where the problem involves the distance from a …

[PDF][PDF] Hardy Inequalities in non-Euclidean Geometries

M Paschalis - 2023 - core.ac.uk
Περίληψη Σκοπός της παρούσας διδακτορικής διατριβής είναι η διερεύνηση της ισχύος και
των ιδιοτήτων της γνωστής ανισότητας του Hardy σε πλαίσια που υπερβαίνουν το κλασικό …

Shape sensitivity analysis of the eigenvalues of polyharmonic operators and elliptic systems

D Buoso - 2015 - research.unipd.it
In this thesis, we study the dependence of the eigenvalues of elliptic partial dierential
operators upon domain perturbations in the N-dimensional space. Namely, we prove …

Monotonicity, continuity and differentiability results for the L p Hardy constant

G Barbatis, PD Lamberti - Israel Journal of Mathematics, 2016 - Springer
We consider the L p Hardy inequality involving the distance to the boundary for a domain in
the n-dimensional Euclidean space. We study the dependence on p of the corresponding …

Eigenvalues and eigenfunctions of the p (-)-Laplacian. A

O Méndez - Function Spaces in Analysis, 2015 - books.google.com
Eigenvalues and eigenfunctions of the p (-)-Laplacian. A Page 232 Contemporary Mathematics
Volume 645, 2015 http: //dx . doi. org / 10.1090/conm/645/12905 Eigenvalues and …