Liouville-type theorem for an indefinite logarithmic Laplacian equation (Q6653369)

scientific article; zbMATH DE number 7958653

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English	Liouville-type theorem for an indefinite logarithmic Laplacian equation	scientific article; zbMATH DE number 7958653

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instance of

scholarly article

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title

Liouville-type theorem for an indefinite logarithmic Laplacian equation (English)

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International Journal of Mathematics

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publication date

16 December 2024

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zbMATH Keywords

logarithmic Laplacian

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monotonicity

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nonexistence

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coercive epigraph

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direct method of moving planes

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MaRDI profile type

Publication

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cites work

Monotonicity of solutions for some nonlocal elliptic problems in half-spaces

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Fractional Laplacian in conformal geometry

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Liouville theorems involving the fractional Laplacian on a half space

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Monotonicity of positive solutions for nonlocal problems in unbounded domains

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Maximum principles for the fractional p-Laplacian and symmetry of solutions

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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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Fractional equations with indefinite nonlinearities

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Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian

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The Cauchy problem associated to the logarithmic Laplacian with an application to the fundamental solution

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The Dirichlet problem for the logarithmic Laplacian

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Indefinite fractional elliptic problem and Liouville theorems

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A Liouville type theorem for poly-harmonic Dirichlet problems in a half space

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Euler Equations, Navier-Stokes Equations and Turbulence

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The variational approach to \(s\)-fractional heat flows and the limit cases \(s \rightarrow 0^+\) and \(s \rightarrow 1^-\)

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Direct methods for pseudo-relativistic Schrödinger operators

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On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results

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Existence and non-existence results for semilinear elliptic problems in unbounded domains

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Nonlocal operators of small order

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Classification of solutions of an equation related to a conformal log Sobolev inequality

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Monotonicity and nonexistence of positive solutions for pseudo-relativistic equation with indefinite nonlinearity

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A new look at the fractional Poisson problem via the logarithmic Laplacian

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Symmetry of solutions for a fractional p-Laplacian equation of Choquard type

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What is the fractional Laplacian? A comparative review with new results

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Direct method of moving planes for logarithmic Laplacian system in bounded domains

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Maximum principles and monotonicity of solutions for fractional \(p\)-equations in unbounded domains

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Maximum principles for Laplacian and fractional Laplacian with critical integrability

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Monotonicity for fractional Laplacian systems in unbounded Lipschitz domains

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Maximum principles and Liouville results for uniformly elliptic nonlocal Bellman system

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Elliptic PDEs with fibered nonlinearities

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Nonexistence results for a fractional Hénon-Lane-Emden equation on a half-space

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Nonexistence of positive solutions for an indefinite fractional \(p\)-Laplacian equation

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Monotonicity results for the fractional <i>p</i>-Laplacian in unbounded domains

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A Liouville theorem for a class of fractional systems in \(\mathbb{R}_+^n\)

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Identifiers

DOI

10.1142/s0129167x24500678

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6653369