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scientific article; zbMATH DE number 7814208

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7814208

Statements

scholarly article

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Giampiero Palatucci

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Mirco Piccinini

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publication date

6 March 2024

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full work available at URL

https://arxiv.org/abs/2307.16763

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zbMATH Keywords

nonlocal operators

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fractional sub-Laplacian

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De Giorgi-Nash-Moser theory

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Heisenberg group

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Caccioppoli estimates

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obstacle problems

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Perron's method

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MaRDI profile type

MaRDI publication profile

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A Hardy type inequality on fractional order Sobolev spaces on the Heisenberg group

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Nonlinear Calderón-Zygmund theory in the limiting case

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Isometric embeddings into Heisenberg groups

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Coupling in the Heisenberg group and its applications to gradient estimates

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Boundary regularity of mixed local-nonlocal operators and its application

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Stratified Lie Groups and Potential Theory for their Sub-Laplacians

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Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere

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Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case

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Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case

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Hölder regularity for weak solutions to nonlocal double phase problems

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Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian

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An Extension Problem Related to the Fractional Laplacian

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Regularity of quasi-linear equations in the Heisenberg group

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An embedding theorem and the harnack inequality for nonlinear subelliptic equations

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Regularity for nonlocal problems with non-standard growth

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Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type

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Heat kernel estimates for jump processes of mixed types on metric measure spaces

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Hardy and uncertainty inequalities on stratified Lie groups

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A nonlinear Liouville theorem for fractional equations in the Heisenberg group

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Finite difference approximation of the Mumford and Shah functional in a contact manifold of the Heisenberg space

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Regularity of quasi-linear equations with Hörmander vector fields of step two

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Subadditivity of Homogeneous Norms on Certain Nilpotent Lie Groups

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The sub-elliptic obstacle problem: \(C^{1,\alpha }\) regularity of the free boundary in Carnot groups of step two

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Variational inequalities with lack of ellipticity. Part I: Optimal interior regularity and non-degeneracy of the free boundary

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Gradient regularity in mixed local and nonlocal problems

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Hölder regularity for nonlocal double phase equations

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Nonlocal Harnack inequalities

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Local behavior of fractional \(p\)-minimizers

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Hitchhiker's guide to the fractional Sobolev spaces

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Local boundedness and Hölder continuity for the parabolic fractional \(p\)-Laplace equations

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Harnack inequality for fractional sub-Laplacians in Carnot groups

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Fractional Laplacians, perimeters and heat semigroups in Carnot groups

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An extension problem for the CR fractional Laplacian

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A fundamental solution for a subelliptic operator

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Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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On the regularity theory for mixed local and nonlocal quasilinear elliptic equations

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A class of nonlocal hypoelliptic operators and their extensions

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Feeling the heat in a group of Heisenberg type

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Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups

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Lyapunov-type inequalities for the fractional \(p\)-sub-Laplacian

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The Wiener criterion for nonlocal Dirichlet problems

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Nonlocal Harnack inequalities for nonlocal heat equations

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Equivalence of solutions to fractional \(p\)-Laplace type equations

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The obstacle problem for nonlinear integro-differential operators

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Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations

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Nonlocal self-improving properties

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The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. I

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The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. II

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Perron's method and Wiener's theorem for a nonlocal equation

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Regularity results for quasilinear elliptic equations in the Heisenberg group

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Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group

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On local Lipschitz regularity for quasilinear equations in the Heisenberg group

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Regularity of Inhomogeneous Quasi-Linear Equations on the Heisenberg Group

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\(C^{1, \alpha}\)-regularity for variational problems in the Heisenberg group

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Magnetic trajectories on 2-step nilmanifolds

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The Dirichlet problem for the \(p\)-fractional Laplace equation

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Recent Developments in Nonlocal Theory

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Nonlocal Harnack inequalities in the Heisenberg group

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The obstacle problem and the Perron method for nonlinear fractional equations in the Heisenberg group

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Robust phase transitions for Heisenberg and other models on general trees

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Existence for \((p, q)\) critical systems in the Heisenberg group

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Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group

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Nonlinear commutators for the fractional \(p\)-Laplacian and applications

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Self-improving inequalities for bounded weak solutions to nonlocal double phase equations

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Harnack inequality for mixed local and nonlocal parabolic \(p\)-Laplace equations

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Holder estimates for solutions of integro differential equations like the fractional laplace

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Regularity of the obstacle problem for a fractional power of the laplace operator

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Local boundedness of solutions to non-local parabolic equations modeled on the fractional \(p\)-Laplacian

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Harnack's inequality for parabolic nonlocal equations

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.6092/ISSN.2240-2829/18862

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Sitelinks

Mathematics(1 entry)

mardi Publication:6150752

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