differential inequality
11Riemannian Penrose inequality — In mathematical general relativity, the Penrose inequality, first conjectured by Sir Roger Penrose, estimates the mass of a spacetime in terms of the total area of its black holes and is a generalization of the positive mass theorem. The… …
12Variational inequality — is a mathematical theory intended for the study of equilibrium problems. Guido Stampacchia put forth the theory in 1964 to study partial differential equations. The applicability of the theory has since been expanded to include problems from… …
13Sobolev inequality — In mathematics, there is in mathematical analysis a class of Sobolev inequalities, relating norms including those of Sobolev spaces. These are used to prove the Sobolev embedding theorem, giving inclusions between certain Sobolev spaces, and the… …
14Clausius–Duhem inequality — Continuum mechanics …
15Loewner's torus inequality — In differential geometry, Loewner s torus inequality is an inequality due to Charles Loewner for the systole of an arbitrary Riemannian metric on the 2 torus.tatementIn 1949 Charles Loewner proved that every metric on the 2 torus mathbb T^2… …
16Pu's inequality — [ Roman Surface representing RP2 in R3] In differential geometry, Pu s inequality is an inequality proved by P. M. Pu for the systole of an arbitrary Riemannian metric on the real projective plane RP2.tatementA student of Charles Loewner s, P.M.… …
17Poincaré inequality — In mathematics, the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré. The inequality allows one to obtain bounds on a function using bounds on its derivatives and the geometry of …
18Carleman's inequality — is an inequality in mathematics, named after Torsten Carleman. It states that if a 1, a 2, a 3, dots is a sequence of non negative real numbers, then : sum {n=1}^infty left(a 1 a 2 cdots a n ight)^{1/n} le e sum {n=1}^infty a n.The constant e in… …
19Compensating differential — is a term used in labor economics to analyze the relation between the wage rate and the unpleasantness, risk, or other undesirable attributes of a particular job. A compensating differential, which is also called a compensating wage differential… …
20Berger's inequality for Einstein manifolds — In mathematics mdash; specifically, in differential topology mdash; Berger s inequality for Einstein manifolds is the statement that any 4 dimensional Einstein manifold ( M , g ) has non negative Euler characteristic chi; ( M ) ge; 0. The… …
