Liouville theorem for Choquard equation with finite Morse indices

DOI10.1016/S0252-9602(18)30773-2zbMath1399.35210OpenAlexW2790101716MaRDI QIDQ1637051

Xiaojun Zhao

Publication date: 7 June 2018

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30773-2

zbMATH Keywords

Liouville type theoremMorse indexChoquard equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Integro-partial differential equations (35R09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (9)

Liouville theorems for Hénon type Choquard equation ⋮ Liouville-type theorem for a subelliptic equation with Choquard nonlinearity and weight ⋮ Liouville‐type theorems for a nonlinear fractional Choquard equation ⋮ On stable weak solutions of the weighted static Choquard equation involving Grushin operator ⋮ Liouville theorems for a \(p\)-Laplace equation with Hartree type nonlinearity ⋮ Stable solutions to double phase problems involving a nonlocal term ⋮ Liouville‐type theorem for finite Morse index solutions to the Choquard equation involving Δ_λ‐Laplacian ⋮ STABLE SOLUTIONS TO THE STATIC CHOQUARD EQUATION ⋮ Qualitative properties and classification of solutions to elliptic equations with Stein-Weiss type convolution part

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