In this note, we prove an existence result for generalized Kazdan-Warner equations on compact Riemannian manifolds by using the flow approach or the upper and lower solution method. In addition, we give a prior estimate for this type equations.
$C^{2,α}$ estimates and existence results for certain nonconcave PDE
An existence result for the sandpile problem on flat tables with walls
A global scheme for the incompressible Navier-Stokes equation on compact Riemannian manifolds
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