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scientific article; zbMATH DE number 7527613

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7527613

Statements

scholarly article

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Mohammed Abdellaoui

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publication date

17 May 2022

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full work available at URL

https://www1.mat.uniroma1.it/ricerca/rendiconti/43_2_(2022)_103-132.html

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zbMATH Keywords

asymptotic behavior

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entropy solution

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fractional capacity

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measure data

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parabolic equation

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MaRDI profile type

MaRDI publication profile

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Asymptotic behavior of solutions for nonlinear parabolic operators with natural growth term and measure data

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On a fractional quasilinear parabolic problem: the influence of the Hardy potential

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On fractional \(p\)-Laplacian parabolic problem with general data

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A note on quasilinear equations with fractional diffusion

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Asymptotic behaviour as of solutions of linear parabolic equations with discontinuous coefficients in

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The Laplacian with Robin boundary conditions on arbitrary domains

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Dirichlet and Neumann boundary conditions: what is in between?

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Asymptotic profiles of solutions to viscous Hamilton--Jacobi equations

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The heat equation with nonlinear generalized Robin boundary conditions

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Some quasi-linear elliptic equations with inhomogeneous generalized Robin boundary conditions on ``bad'' domains

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Regularity in capacity and the Dirichlet Laplacian

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Sobolev spaces, fine gradients and quasicontinuity on quasiopen sets

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Nonlinear potential theory on metric spaces

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Quasiopen and \(p\)-path open sets, and characterizations of quasicontinuity

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Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems

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Censored stable processes

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Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains

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Nonlinear parabolic equations with measure data

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Nonlinear elliptic and parabolic equations involving measure data

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Nonlinear Elliptic Equations with Right Hand Side Measures

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Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data

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Semi-linear second-order elliptic equations in \(L^1\)

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Non-local Diffusions, Drifts and Games

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An Extension Problem Related to the Fractional Laplacian

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Uniform estimates and limiting arguments for nonlocal minimal surfaces

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Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems

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Theory of capacities

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Dirichlet and Neumann boundary conditions for the <i>p</i>-Laplace operator: what is in between?

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Approximated solutions of equations with \(L^ 1\) data. Application to the \(H\)-convergence of quasilinear parabolic equations

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Robin boundary value problems on arbitrary domains

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A priori estimates for a class of quasi-linear elliptic equations

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On the integral representation of certain local functionals

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Definition and existence of renormalized solutions of elliptic equations with general measure data

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Lebesgue and Sobolev spaces with variable exponents

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Hitchhiker's guide to the fractional Sobolev spaces

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Parabolic capacity and soft measures for nonlinear equations

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Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data

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Integration by parts formula for regional fractional Laplacian

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BOUNDARY PROBLEMS FOR FRACTIONAL LAPLACIANS

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Reflected symmetric \(\alpha\)-stable processes and regional fractional Laplacian

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Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\)

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The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values

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On a nonlinear elliptic-parabolic integro-differential equation with \(L^{1}\)-data.

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The Wiener test and potential estimates for quasilinear elliptic equations

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Sobolev spaces with zero boundary values on metric spaces

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Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder

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Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations

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Fractional eigenvalues

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Two theorems of N. Wiener for solutions of quasilinear elliptic equations

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Fractional \(p\)-Laplacian evolution equations

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The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

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Entropy subsolutions and supersolutions for nonlinear elliptic equations in \(L^1\)

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Renormalized solutions of nonlinear parabolic equations with general measure data

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Asymptotic behavior of solutions for linear parabolic equations with general measure data

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Asymptotic behavior of solutions for parabolic operators of Leray-Lions type and measure data

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Existence results for nonlinear parabolic equations via strong convergence of truncations

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Radon measure-valued solutions for some quasilinear degenerate elliptic equations

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Measure-valued solutions of nonlinear parabolic equations with logarithmic diffusion

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Radon measure-valued solutions for a class of quasilinear parabolic equations

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Existence and uniqueness of “entropy” solutions of parabolic problems with L1 data

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On fractional capacities relative to bounded open Lipschitz sets

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Compact sets in the space \(L^ p(0,T;B)\)

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On a boundary value problem for polyharmonic equations

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On a theorem of functional analysis

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Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus

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Two nontrivial solutions for an elliptic problem involving some nonlocal integro-differential operators

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Renormalized and entropy solutions for the fractional \(p\)-Laplacian evolution equations

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The \(p\)-Laplace operator with the nonlocal Robin boundary conditions on arbitrary open sets

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The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets

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Optimal geometric estimates for fractional Sobolev capacities

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Existence of solutions for perturbed fractional \(p\)-Laplacian equations

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Asymptotic behavior of the solutions of certain boundary value problems of mathematical physics for 𝑡→∞

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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