Liouville theorems for Hénon type Choquard equation

DOI10.3934/cpaa.2023101OpenAlexW4388106647MaRDI QIDQ6086441

Jing Dong, Haiyang He

Publication date: 12 December 2023

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

Full work available at URL: https://doi.org/10.3934/cpaa.2023101

zbMATH Keywords

Liouville theoremMorse indexPohozaev identityChoquard equationHénon type

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Integro-partial differential equations (35R09) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

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• Liouville theorem for Choquard equation with finite Morse indices
• Remark on some conformally invariant integral equations: the method of moving spheres
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• Liouville type theorems for integral equations and integral systems
• Liouville theorem for Robin boundary value problems and finite Morse indices
• Liouville theorem and classification of positive solutions for a fractional Choquard type equation
• Liouville theorems involving the fractional Laplacian on a half space
• Super poly-harmonic property of solutions for Navier boundary problems on a half space
• A priori bounds for positive solutions of nonlinear elliptic equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation

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