Add to ORKGThis paper is to extend the Poincar’e Lemma for differential forms in a bounded, convex domain [1] in Rn to a more ge-neral domain that, we call, is deformable to every point in itself. Then we extend the homotopy operator T in [1] to the domain defromed to every point of itself
On a compact Riemannian manifold with boundary, the absolute and relative cohomology groups appear a...
We give a div-curl type lemma for the wedge product of closed differential forms on Rn when they hav...
International audienceLet Ω be a domain in R^N, i.e., a bounded and connected open subset of R^N wit...
ABSTRACT. Let X be a normal complex space and let Ω[i]X,p ∶ = (ΩiX)∗∗p be the stalk of the sheaf of ...
In this thesis, we study some linear and nonlinear problems involving differential forms. We begin b...
We study the system of linear partial differential equations given by dw + a Lambda w = f, on open s...
We will present an up-to-date account of the recent advances made in the study of Poincaré inequalit...
We describe a topological predual ′B to the Fréchet space of differential forms B defined in an ope...
Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifold...
Abstract This article is devoted to extensions of some existing results about the Caratheodory opera...
We derive bounds for the constants in Poincaré–Friedrichs inequalities with respect to mesh-dependen...
We begin by giving an example of a smoothly bounded convex domain that has complex geodesics that do...
We begin by giving an example of a smoothly bounded convex domain that has complex geodesics that do...
On a compact Riemannian manifold with boundary, the absolute and relative cohomology groups appear a...
Using the Green's function and some comparison theorems, we obtain a lower bound on the first D...
On a compact Riemannian manifold with boundary, the absolute and relative cohomology groups appear a...
We give a div-curl type lemma for the wedge product of closed differential forms on Rn when they hav...
International audienceLet Ω be a domain in R^N, i.e., a bounded and connected open subset of R^N wit...
ABSTRACT. Let X be a normal complex space and let Ω[i]X,p ∶ = (ΩiX)∗∗p be the stalk of the sheaf of ...
In this thesis, we study some linear and nonlinear problems involving differential forms. We begin b...
We study the system of linear partial differential equations given by dw + a Lambda w = f, on open s...
We will present an up-to-date account of the recent advances made in the study of Poincaré inequalit...
We describe a topological predual ′B to the Fréchet space of differential forms B defined in an ope...
Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifold...
Abstract This article is devoted to extensions of some existing results about the Caratheodory opera...
We derive bounds for the constants in Poincaré–Friedrichs inequalities with respect to mesh-dependen...
We begin by giving an example of a smoothly bounded convex domain that has complex geodesics that do...
We begin by giving an example of a smoothly bounded convex domain that has complex geodesics that do...
On a compact Riemannian manifold with boundary, the absolute and relative cohomology groups appear a...
Using the Green's function and some comparison theorems, we obtain a lower bound on the first D...
On a compact Riemannian manifold with boundary, the absolute and relative cohomology groups appear a...
We give a div-curl type lemma for the wedge product of closed differential forms on Rn when they hav...
International audienceLet Ω be a domain in R^N, i.e., a bounded and connected open subset of R^N wit...