Non-existence results for fourth order Hardy-Hénon equations in dimensions 2 and 3

DOI10.1016/J.JDE.2024.02.057MaRDI QIDQ6493730

Thi Ngoan Tran, Quoc-Anh Ngô, Van Tuan Tran

Publication date: 29 April 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

pointwise estimateclassical solutiondistributional solutionexistence and non-existenceHardy-Hénon equationdimensions 2 and 3

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30) Entire solutions to PDEs (35B08) Comparison principles in context of PDEs (35B51) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Elliptic equations and elliptic systems (35Jxx)

Cites Work

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• Exhaustive existence and non-existence results for some prototype polyharmonic equations in the whole space
• Exhaustive existence and non-existence results for Hardy-Hénon equations in \(\mathbb{R}^n\)
• Existence and non-existence results for the higher order Hardy-Hénon equations revisited
• Singular solutions for the constant \(Q\)-curvature problem
• Liouville type theorems for Hardy–Hénon equations with concave nonlinearities

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