Liouville theorems for an integral equation of Choquard type

DOI10.3934/cpaa.2020036zbMath1428.35665OpenAlexW2981285795WikidataQ126858989 ScholiaQ126858989MaRDI QIDQ2286196

Yanyan Li

Publication date: 10 January 2020

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2020036

zbMATH Keywords

integral equationLiouville theoremfractional Laplaciannonexistence of positive solutionsChoquard equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fractional partial differential equations (35R11) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (10)

Integrability of solutions for the integral system ⋮ Uniqueness of non-negative solutions to an integral equation of the Choquard type ⋮ Liouville-type theorem for a subelliptic equation with Choquard nonlinearity and weight ⋮ Liouville‐type theorems for a nonlinear fractional Choquard equation ⋮ Classical solutions to a Hartree type system ⋮ Nonlinear inequalities with double Riesz potentials ⋮ Symmetry of solutions for a fractional p-Laplacian equation of Choquard type ⋮ On Liouville theorems of a Hartree–Poisson system ⋮ Liouville‐type theorem for finite Morse index solutions to the Choquard equation involving Δ_λ‐Laplacian ⋮ Classification of nonnegative solutions to an equation involving the Laplacian of arbitrary order

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