Multiplicity results for the scalar curvature problem on half spheres

DOI10.3934/DCDS.2024013MaRDI QIDQ6493893

Khalil O. El Mehdi, Mohamed Ben Ayed

Publication date: 29 April 2024

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

partial differential equationsanalysis on manifoldsscalar curvature problems

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Elliptic equations on manifolds, general theory (58J05) Elliptic equations and elliptic systems (35Jxx)

Cites Work

• Prescribing scalar and boundary mean curvature on the three dimensional half sphere
• The scalar curvature problem on the four dimensional half sphere
• The Nirenberg problem in a domain with boundary
• Existence of conformal metrics with prescribed scalar curvature on the four dimensional half sphere
• Non simple blow ups for the Nirenberg problem on half spheres
• Prescribing Morse scalar curvatures: subcritical blowing-up solutions
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Yamabe equations on half-spaces
• The Nirenberg Problem on Half Spheres: A Bubbling-off Analysis

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