DOI: 10.1112/blms.70461 ISSN: 0024-6093
Kazdan–Warner obstructions for a fourth‐order boundary problem
Sergio Cruz‐Blázquez, Azahara DelaTorreAbstract
We derive Kazdan–Warner type identities for the boundary problem of prescribing nonconstant interior curvature and boundary curvature on the upper hemisphere by a conformal change of the standard metric. Using the natural variational formulation and conformal variations generated by boundary‐preserving conformal vector fields, we obtain nontrivial integral obstructions to solvability.