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We study the regularity of a parabolic free boundary problem of two-phase type with coefficients below the Lipschitz threshold. For the Lipschitz coefficient case one can apply a monotonicity formula to prove the optimal C 1,1 x ∩ C 0,1 t-regularity of the solution and that the free boundary is, near the so-called branching points, the union of two graphs… (More)
We give an estimate of type sup × inf on Riemannian manifold of dimension 5 for Yamabe type equation.
We give some estimates of type sup × inf on Riemannian manifold of dimensions 4, 5 and 6 for the Yamabe type equation.