The Yamabe problem with singularities

DOI10.1016/j.bulsci.2007.09.004zbMath1152.58017arXiv0804.1717OpenAlexW3106288922MaRDI QIDQ950541

Farid Madani

Publication date: 30 October 2008

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1717

zbMATH Keywords

regularityscalar curvaturesingularityHardy inequalityYamabe equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20)

Related Items

Relations between threshold constants for Yamabe type bordism invariants ⋮ On the singular second-order elliptic equation ⋮ Struwe compactness results for a critical $p-$Laplacian equation involving critical and subcritical Hardy potential on compact Riemannian manifolds ⋮ The second Yamabe invariant with singularities ⋮ Unnamed Item ⋮ Hardy type inequalities on complete Riemannian manifolds ⋮ Unnamed Item ⋮ Second-order elliptic equation with singularities ⋮ Nonhomogeneous polyharmonic elliptic problems involving GJMS operator on Riemannian manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Proof of the positive mass conjecture
• An elementary proof of Harnack's inequality for Schrödinger operators and related topics
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Conformal normal coordinates
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• Local behavior of solutions of quasi-linear equations
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• The Existence of Generalized Isothermal Coordinates for Higher Dimensional Riemannian Manifolds
• On the Best Constant for a Weighted Sobolev-Hardy Inequality
• The Yamabe problem
• Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities