Some nonlinear elliptic equations from geometry.
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- Record sourced from PubMed, PMID 12444259.
- Also identified by PMC identifier 137708.
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Abstract
We describe some recent work on certain nonlinear elliptic equations from geometry. These include the problem of prescribing scalar curvature on (n), the Yamabe problem on manifolds with boundary, and the best Sobolev inequality on Riemannian manifolds.