Add to ORKGDedicated to A. Ambrosetti, a guide who definitively changed my life ABSTRACT. The classical Poincare ́ inequality establishes that for any bounded regular domain Ω ⊂ RN there exists a constant C = C(Ω)> 0 such that∫ Ω |u|2 dx ≤ C Ω |∇u|2 dx ∀u ∈ H1(Ω), Ω u(x) dx = 0. In this note we show thatC can be taken independently of Ω when Ω is in a certain class of domains. Our result generalizes previous results in this direction. 1
Let Ω be an n-dimensional convex domain, and let v ∈ [0,1/2]. For all f ∈ H0 1(Ω) we prove the inequ...
Let Ω be an n-dimensional convex domain, and let v ∈ [0,1/2]. For all f ∈ H0 1(Ω) we prove the inequ...
International audienceFor any N ≥ 2 and α = (α 1 , · · · , α N +1) ∈ (0, ∞) N +1 , let µ(N) α be the...
huit pagesWe give a proof of the Poincaré inequality in W^{1,p} with a constant that is independent ...
For each natural number n and any bounded, convex domain Ω ⊂ R n we characterize the sharp constant ...
We point out some of the differences between the consequences of p-Poincaré inequality and that of ...
ABSTRACT. We present two extensions of the one dimensional free Poincare ́ inequality similar in spi...
If Ω is a John domain (or certain more general domains), and |∇υ|a certain mild condition, we show t...
If Ω is a John domain (or certain more general domains), and |∇υ|a certain mild condition, we show t...
Poincare domains are those domains in Euclidean space which support a Poincare inequality. This mean...
AbstractWe give a necessary geometrical condition for a domain in Euclidean n-space to be a (q,p)-Po...
Abstract. We show that, in a complete metric measure space equipped with a doubling Borel regular me...
We consider a domain Ω⊂Rd equipped with a nonnegative weight w and are concerned with the question w...
If Ω is a John domain (or certain more general domains), and |∇υ|a certain mild condition, we show t...
Let Ω be an n-dimensional convex domain, and let v ∈ [0,1/2]. For all f ∈ H0 1(Ω) we prove the inequ...
Let Ω be an n-dimensional convex domain, and let v ∈ [0,1/2]. For all f ∈ H0 1(Ω) we prove the inequ...
Let Ω be an n-dimensional convex domain, and let v ∈ [0,1/2]. For all f ∈ H0 1(Ω) we prove the inequ...
International audienceFor any N ≥ 2 and α = (α 1 , · · · , α N +1) ∈ (0, ∞) N +1 , let µ(N) α be the...
huit pagesWe give a proof of the Poincaré inequality in W^{1,p} with a constant that is independent ...
For each natural number n and any bounded, convex domain Ω ⊂ R n we characterize the sharp constant ...
We point out some of the differences between the consequences of p-Poincaré inequality and that of ...
ABSTRACT. We present two extensions of the one dimensional free Poincare ́ inequality similar in spi...
If Ω is a John domain (or certain more general domains), and |∇υ|a certain mild condition, we show t...
If Ω is a John domain (or certain more general domains), and |∇υ|a certain mild condition, we show t...
Poincare domains are those domains in Euclidean space which support a Poincare inequality. This mean...
AbstractWe give a necessary geometrical condition for a domain in Euclidean n-space to be a (q,p)-Po...
Abstract. We show that, in a complete metric measure space equipped with a doubling Borel regular me...
We consider a domain Ω⊂Rd equipped with a nonnegative weight w and are concerned with the question w...
If Ω is a John domain (or certain more general domains), and |∇υ|a certain mild condition, we show t...
Let Ω be an n-dimensional convex domain, and let v ∈ [0,1/2]. For all f ∈ H0 1(Ω) we prove the inequ...
Let Ω be an n-dimensional convex domain, and let v ∈ [0,1/2]. For all f ∈ H0 1(Ω) we prove the inequ...
Let Ω be an n-dimensional convex domain, and let v ∈ [0,1/2]. For all f ∈ H0 1(Ω) we prove the inequ...
International audienceFor any N ≥ 2 and α = (α 1 , · · · , α N +1) ∈ (0, ∞) N +1 , let µ(N) α be the...