Improved interpolation inequalities, relative entropy and fast diffusion equations

During this time the condenser pressure is at it's minimum and the gross turbine power is at it's maximum for both standard and TES enhanced operation. The

One is to establish an abstract convex Sobolev type inequality using mass transport, and the other one is to establish a new functional Brunn-Minkowski type inequality on R n + ,

N = 1, Ω = R.. The proof consists of a tedious analysis of all possibilities. Apply Corollary 3.1. Here we use again reiteration. There is nothing to prove! Case 9.. This follows

Sobolev spaces; Hardy-Littlewood-Sobolev inequality; logarithmic Hardy- Littlewood-Sobolev inequality; Sobolev’s inequality; Onofri’s inequality; Gagliardo-Nirenberg in-

Keywords: Gagliardo–Nirenberg–Sobolev inequalities; Improved inequalities; Manifold of optimal functions; Entropy–entropy production method; Fast diffusion equation;

The fast diffusion equation determines the family of inequalities, which in- cludes Sobolev’s inequality as an endpoint, and dictates the functional setting and the strategy,

Explicit constants in Harnack inequalities and regularity estimates, with an application to the fast diffusion equation (supplementary material).

Explicit constants in Harnack inequalities and regularity estimates, with an application to the fast diffusion equation (supplementary material).