Remarks on the Yamabe problem and the Palais-Smale condition

zbMath0609.53013MaRDI QIDQ1086855

B. George

Publication date: 1986

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1986__75__47_0

zbMATH Keywords

Palais-Smale conditionRiemannian manifoldscalar curvatureYamabe problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods applied to PDEs (35A15) Global Riemannian geometry, including pinching (53C20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (4)

A free boundary problem involving limiting Sobolev exponents ⋮ Note on a function satisfying Palais-Smale condition ⋮ Multiplicity of constant scalar curvature metrics in \(\mathbb{T}^k \times M\) ⋮ Scalar curvature and conformal geometry

Cites Work

• Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Best constant in Sobolev inequality
• Lusternik-Schnirelman theory on Banach manifolds
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
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