Exact multiplicity result for the perturbed scalar curvature problem in $\mathbb{R}^N $ $(N \geq 3)$

DOI10.1090/S0002-9939-06-08644-8zbMath1172.35021OpenAlexW1497685235MaRDI QIDQ3419987

S. Prashanth

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08644-8

zbMATH Keywords

scalar curvatureYamabe problemexact multiplicity

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Bifurcations in context of PDEs (35B32)

Related Items (1)

Theoretical developments in the study of partial differential equations

Cites Work

• A note on the Sobolev inequality
• Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
• Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics
• Unnamed Item

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