Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations (Q5855627)

scientific article; zbMATH DE number 7326323

Language	Label	Description	Also known as
English	Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations	scientific article; zbMATH DE number 7326323

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instance of

scholarly article

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title

Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations (English)

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published in

SIAM Journal on Mathematical Analysis

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publication date

19 March 2021

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full work available at URL

https://arxiv.org/abs/1909.00492

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zbMATH Keywords

higher-order fractional Laplacians

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super poly-harmonic properties

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nonlocal nonlinearities

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method of moving spheres

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MaRDI profile type

MaRDI publication profile

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cites work

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Gradient estimates for harmonic and \(q\)-harmonic functions of symmetric stable processes.

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Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians

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On uniqueness of solutions of \(n\)-th order differential equations in conformal geometry

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Classification of positive solutions to fractional order Hartree equations via a direct method of moving planes

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Classification of nonnegative solutions to static Schrödinger-Hartree and Schrödinger-Maxwell Equations with combined nonlinearities

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Classification of nonnegative classical solutions to third-order equations

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Classification of positive singular solutions to a nonlinear biharmonic equation with critical exponent

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A New, Rearrangement-free Proof of the Sharp Hardy–Littlewood–Sobolev Inequality

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Uniqueness of Radial Solutions for the Fractional Laplacian

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Qualitative Analysis for the Static Hartree-Type Equations

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Remark on some conformally invariant integral equations: the method of moving spheres

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Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities

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Regularity, symmetry, and uniqueness of some integral type quasilinear equations

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The focusing energy-critical Hartree equation

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Uniqueness theorems through the method of moving spheres

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Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations

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Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics

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Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case

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Classification of positive solitary solutions of the nonlinear Choquard equation

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Q5607484

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A symmetry problem in potential theory

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

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Classification of solutions of higher order conformally invariant equations

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Classification of positive solutions for a static Schrödinger-Maxwell equation with fractional Laplacian

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Exact solutions of nonlinear conformally invariant integral equations in \(\mathbf R^3\)

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Identifiers

zbMATH Open document ID

1460.35058

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DOI

10.1137/20M1341908

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5855627