Liouville theorems for nonnegative solutions to Hardy-Hénon type system on a half space (Q2062142)

scientific article; zbMATH DE number 7450624

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English	Liouville theorems for nonnegative solutions to Hardy-Hénon type system on a half space	scientific article; zbMATH DE number 7450624

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instance of

scholarly article

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title

Liouville theorems for nonnegative solutions to Hardy-Hénon type system on a half space (English)

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Annals of Functional Analysis

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publication date

24 December 2021

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zbMATH Keywords

fractional Laplacians

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Hardy-Hénon-type system

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nonnegative solutions

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Liouville theorems

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method of scaling spheres

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s43034-021-00158-1

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cites work

Q4888858

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A new dynamical approach of Emden-Fowler equations and systems

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Nonexistence results and estimates for some nonlinear elliptic problems

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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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Liouville theorems involving the fractional Laplacian on a half space

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Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

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Classification of solutions of some nonlinear elliptic equations

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A necessary and sufficient condition for the nirenberg problem

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A direct method of moving planes for the fractional Laplacian

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The Fractional Laplacian

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Classification of solutions for an integral equation

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A direct method of moving spheres on fractional order equations

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A Liouville theorem for \(\alpha\)-harmonic functions in \(\mathbb{R}^n_+\)

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Euler Equations, Navier-Stokes Equations and Turbulence

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An Extension Problem Related to the Fractional Laplacian

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Positive solutions of nonlinear problems involving the square root of the Laplacian

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Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

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

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Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space

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

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A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian

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Classification of nonnegative classical solutions to third-order equations

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Liouville type theorem for critical order Hénon-Lane-Emden type equations on a half space and its applications

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Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains

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Liouville type theorem for higher order Hénon equations on a half space

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Integral representations of harmonic functions in half spaces

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On the Hénon-Lane-Emden conjecture

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Nonexistence results for a class of fractional elliptic boundary value problems

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Monotonicity and nonexistence results for some fractional elliptic problems in the half-space

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A priori bounds for positive solutions of nonlinear elliptic equations

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A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)

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

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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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Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)

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A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. Transl. from the Russian

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Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems

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Liouville-type theorems and bounds of solutions of Hardy-Hénon equations

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A priori bounds and a Liouville theorem on a half-space for higher-order elliptic Dirichlet problems

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A symmetry problem in potential theory

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On the spectrum of two different fractional operators

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

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The proof of the Lane-Emden conjecture in four space dimensions

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Non-existence of positive solutions of Lane-Emden systems

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Classification of solutions of higher order conformally invariant equations

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Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian

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Identifiers

zbMATH Open document ID

1480.35078

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Mathematics Subject Classification ID

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10.1007/S43034-021-00158-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:2062142