相关论文: A sup+Cinf inequality on domain of R^2

We give an inequality of type sup x inf in dimension 5 for a Yamabe type equation.

This paper is in relation with a Note of "Comptes Rendus de l'Academie des Sciences" 2005. We have an idea about a lower bounds of sup+inf (2 dimensions) and sup*inf (dimensions >2).

We give some estimates of type sup*inf for the prescribed scalar curvature equation in dimension 4 and 5, under some condtion on the prescribed curvature.

We prove an a priori estimate of type sup*inf on Riemannian manifold of dimension 3 (not necessarily compact).

We give some estimates of type sup $\times$ inf on Riemannian manifold of dimension 5.

We give a sup+inf inequality on $S_4$ for Paneitz operator.

In this paper we present our results on the logarithmic Sobolev inequality along the Ricci flow in dimension 2.

We give a sup $\times$ inf inequality for an elliptic equation.

We give two results about Harnack type inequalities. First, on compact smooth Riemannian surface without boundary, we have an estimate of the type $\sup +\inf$. The second result concerns the solutions of prescribed scalar curvature…

We give some estimate of type sup*inf for scalar curvature type equations.

We give an estimate of type sup $\times$ inf on Riemannian manifold of dimension 4 for a Yamabe type equation.

We give some estimates of type sup*inf for equation of prescribed scalar curvature type in dimenion 3. As a consequence, we derive an uniqueness type result.

We establish Willmore-type inequalities for bounded domains in complete non-compact Riemannian manifolds, under either asymptotic or integral Ricci curvature bounds. Those results recover a recent inequality of Jin-Yin arXiv:2402.02465.

We are proving a Bernstein type inequality in the shift-invariant spaces of $L_2(R)$.

We give some a priori estimates of type sup*inf for Yamabe and prescribed scalar curvature type equations on Riemannian manifolds of dimension >2. The product sup*inf is caracteristic of those equations, like the usual Harnack inequalities…

We give some results on a priori estimates and on estimates of type sup+inf and sup*inf.

We give a uniqueness result in dimension 2 for the solutions to an equation on compact Riemannian surface without boundary.

We prove that in two dimensions the synthetic notions of lower bounds on sectional and on Ricci curvature coincide.

In this paper, we present an improvement of a large sieve type inequality in high dimensions and discuss its implications on a related problem.

In this paper, we prove an optimal isoperimetric inequality for spacelike, compact, star-shaped, and $2$-convex hypersurfaces in de Sitter space.