An ODE approach to the equation \(\Delta u + Ku^{{n+2}\over{n-2}}=0\) in \(\mathbb{R}^ n\)

DOI10.1007/BF02571788zbMath0759.35019MaRDI QIDQ1204265

Henrik Egnell, Gabriele Bianchi

Publication date: 3 March 1993

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174393

zbMATH Keywords

positive radial solutionsstereographic projectionKazdan Warner problem

Mathematics Subject Classification ID

Related Items (32)

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Cites Work

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• The scalar-curvature problem on the standard three-dimensional sphere
• The concentration-compactness principle in the calculus of variations. The limit case. I
• On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics
• Conformal metrics with prescribed scalar curvature
• Semilinear elliptic equations involving critical Sobolev exponents
• On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
• Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Emden-Fowler equations involving critical exponents
• Conformal Metrics with Prescribed Gaussian Curvature on S 2

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