Higher order Brezis-Nirenberg problem on hyperbolic spaces: existence, nonexistence and symmetry of solutions

DOI10.1016/j.aim.2022.108259zbMath1496.35211arXiv2107.03967OpenAlexW3177793581WikidataQ115598694 ScholiaQ115598694MaRDI QIDQ2118914

Jun-Gang Li, Guozhen Lu, Qiao-Hua Yang

Publication date: 23 March 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03967

zbMATH Keywords

existencehyperbolic spaceshigher order Brezis-Nirenberg problemnonexistence and symmetry of solutions

Mathematics Subject Classification ID

Higher-order elliptic equations (35J30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (5)

Sharp Hardy-Sobolev-Maz'ya, Adams and Hardy-Adams inequalities on the Siegel domains and complex hyperbolic spaces ⋮ Trace Hardy-Sobolev-Maz'ya inequalities on half space and sharp constant in dimension two ⋮ Aleksandrov reflection for extrinsic geometric flows of Euclidean hypersurfaces ⋮ Potential characterizations of geodesic balls on hyperbolic spaces: a moving plane approach ⋮ Green's functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz'ya inequalities on half spaces

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