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\(\sup\times\inf\) inequality on manifold of dimension 3. (English) Zbl 1291.53051

Summary: We give an estimate of type \(\sup\times\text{inf}\) on Riemannian manifold of dimension 3 for the prescribed curvature equation.

MSC:

53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
35J60 Nonlinear elliptic equations
35B45 A priori estimates in context of PDEs
35B50 Maximum principles in context of PDEs