Existence of conformal metrics with prescribed scalar curvature on the four dimensional half sphere

DOI10.1007/s00030-011-0145-yzbMath1259.53040OpenAlexW2026546296MaRDI QIDQ1928777

Rabeh Ghoudi, Mohamed Ben Ayed, Kamal Ould Bouh

Publication date: 4 January 2013

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-011-0145-y

zbMATH Keywords

variational problemscalar curvaturecritical points at infinity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Variational methods for second-order elliptic equations (35J20)

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Construction of sign-changing solutions for a harmonic equation with subcritical exponent ⋮ Nonlinear problem with subcritical exponent in Sobolev space ⋮ Non-degeneracy of critical points of the squared norm of the second fundamental form on manifolds with minimal boundary ⋮ Blowing up of sign-changing solutions to a subcritical problem ⋮ The Nirenberg problem on high dimensional half spheres: the effect of pinching conditions ⋮ Non simple blow ups for the Nirenberg problem on half spheres

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