\(\sup\times\inf\) 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 |