We consider the problem of prescribing the scalar curvature and the boundary mean curvature of the standard half-three sphere, by deforming conformally its standard metric. Using blow-up analysis techniques and minimax arguments, we prove some existence and compactness results.

Prescribing scalar and boundary mean curvature on the three dimensional half sphere

Djadli, Zindine;Malchiodi, Andrea
;
2003

Abstract

We consider the problem of prescribing the scalar curvature and the boundary mean curvature of the standard half-three sphere, by deforming conformally its standard metric. Using blow-up analysis techniques and minimax arguments, we prove some existence and compactness results.
2003
Settore MAT/05 - Analisi Matematica
blow up analysis; conformally invariant equations; continuity method; critical Sobolev exponent; degree arguments
   Variational methods and nonlinear dfferential equations.
   M.U.R.S.T.

   DMS-9701755
   NSF
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/56163
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