The scalar-curvature problem on the standard three-dimensional sphere

@article{Bahri1991TheSP,
  title={The scalar-curvature problem on the standard three-dimensional sphere},
  author={A. Bahri and J. Coron},
  journal={Journal of Functional Analysis},
  year={1991},
  volume={95},
  pages={106-172}
}
  • A. Bahri, J. Coron
  • Published 1991
  • Mathematics
  • Journal of Functional Analysis
  • Let (S3, c) be the standard 3-sphere, i.e., the 3-sphere equipped with the standard metric. Let K be a C2 positive function on S3. The Kazdan-Warner problem [l] is the problem of finding suitable conditions on K such that K is the scalar curvature for a metric g on S3 conformally equivalent to c. The metric g then reads g=u4c and u is a positive function on S3 satisfying the partial differential equation-8 Au + 6u = K(x) us u > 0. Let L =-8 Au + 624 be the conformal Laplacian. The same problem… CONTINUE READING
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