On the optimality and decay of $p$-Hardy weights on graphs (Q6568727)

scientific article; zbMATH DE number 7877913

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English	On the optimality and decay of $p$-Hardy weights on graphs	scientific article; zbMATH DE number 7877913

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scholarly article

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title

On the optimality and decay of $p$-Hardy weights on graphs (English)

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author

Florian Fischer

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published in

Calculus of Variations and Partial Differential Equations

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publication date

8 July 2024

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zbMATH Keywords

subcritical energy functionals

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quasilinear Schrödinger operators on infinite graph

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Nonlinear potential theory on metric spaces

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The analysis and geometry of Hardy's inequality

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Improved $L^p$-Poincaré inequalities on the hyperbolic space

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An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds

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Sharp Poincaré-Hardy and Poincaré-Rellich inequalities on the hyperbolic space

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Poincaré and Hardy Inequalities on Homogeneous Trees

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Optimal Hardy weight for second-order elliptic operator: an answer to a problem of Agmon

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Optimal $L^{p}$ Hardy-type inequalities

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A non-local quasi-linear ground state representation and criticality theory

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An improved discrete $p$-Hardy inequality

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Dirichlet forms and symmetric Markov processes.

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Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

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Note on a theorem of Hilbert.

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Harmonic functions of general graph Laplacians

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Q5294569

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Positive solutions of the $\mathcal{A}$-Laplace equation with a potential

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Graphs and Discrete Dirichlet Spaces

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Improved Hardy and Rellich inequalities on Riemannian manifolds

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Hardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifolds

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On minimal decay at infinity of Hardy-weights

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Optimal Hardy inequalities for Schrödinger operators on graphs

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Critical Hardy Inequalities on Manifolds and Graphs

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From Hardy to Rellich inequalities on graphs

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Weighted Inequalities of Hardy Type

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Sharp uncertainty principles on Riemannian manifolds: the influence of curvature

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Boundary limit of discrete Dirichlet potentials

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A remark on parabolic index of infinite networks

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Optimal Hardy inequalities for Schrödinger operators based on symmetric stable processes

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Positive solutions and large time behaviors of Schrödinger semigroups, Simon's problem

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Structure of positive solutions to $(-\Delta +V)u=0$ in $R^ n$

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Q3997067

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On positive solutions of second-order elliptic equations, stability results, and classification

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Über eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Straßennetz.

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On positive solutions of the $(p,A)$-Laplacian with potential in Morrey space

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Criticality theory of half-linear equations with the $(p, A)$-Laplacian

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Maximum principles on Riemannian manifolds and applications

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Uniqueness of positive solutions for singular problems involving the $p$-Laplacian

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Global divergence theorems in nonlinear PDEs and geometry

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Ground state alternative for $p$-Laplacian with potential term

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A Liouville-type theorem for the $p$-Laplacian with potential term

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(Weak) Hardy and Poincaré inequalities and criticality theory

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Brownian motion, $L^p$ properties of Schrödinger operators and the localization of binding

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Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.

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Classification of infinite networks and its application

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Parabolic index and rough isometries

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Criticality and subcriticality of generalized Schrödinger forms

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Criticality for Schrödinger type operators based on recurrent symmetric stable processes

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Optimal Hardy-type inequalities for Schrödinger forms

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Solving the $p$-Laplacian on manifolds

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Parabolicity of manifolds

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Criticality of Schrödinger forms and recurrence of Dirichlet forms

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Optimal Hardy-weights for the (<i>p</i>, <i>A</i>)-Laplacian with a potential term

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Random Walks on Infinite Graphs and Groups

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Denumerable Markov chains. Generating functions, boundary theory, random walks on trees.

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Parabolic and hyperbolic infinite networks

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Identifiers

zbMATH Open document ID

1543.35009

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Mathematics Subject Classification ID

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10.1007/S00526-024-02754-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:6568727

On the optimality and decay of \(p\)-Hardy weights on graphs (Q6568727)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)