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Displaying similar documents to “Abnormal curves on the Goursat systems of $ℝ^{n}$ .”

On the geometry of Goursat structures

William Pasillas-Lépine, Witold Respondek (2001)

ESAIM: Control, Optimisation and Calculus of Variations

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A Goursat structure on a manifold of dimension $n$ is a rank two distribution $𝒟$ such that dim $𝒟^{(i)} = i + 2$ , for $0 \leq i \leq n - 2$ , where $𝒟^{(i)}$ denote the elements of the derived flag of $𝒟$ , defined by $𝒟^{(0)} = 𝒟$ and $𝒟^{(i + 1)} = 𝒟^{(i)} + [𝒟^{(i)}, 𝒟^{(i)}]$ . Goursat structures appeared first in the work of von Weber and Cartan, who have shown that on an open and dense subset they can be converted into the so-called Goursat normal form. Later, Goursat structures have been studied by Kumpera and Ruiz. In the paper, we introduce a new local invariant for Goursat structures,...

On some general notions of superior limit, inferior limit and value of a distribution at a point.

Campos Ferreira, J. (2001)

Portugaliae Mathematica. Nova Série

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Unilateral boundary value problems with jump discontinuities.

Halidias, Nikolaos (2003)

International Journal of Mathematics and Mathematical Sciences

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Solutions for nonlinear variational inequalities with a nonsmooth potential.

Filippakis, Michael E., Papageorgiou, Nikolaos S. (2004)

Abstract and Applied Analysis

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Fuzzy $n$ -normed linear space.

Narayanan, Al., Vijayabalaji, S. (2005)

International Journal of Mathematics and Mathematical Sciences

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Rank-2 distributions satisfying the Goursat condition : all their local models in dimension 7 and 8

Mohamad Cheaito, Piotr Mormul (1999)

ESAIM: Control, Optimisation and Calculus of Variations

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New Liouville theorems for linear second order degenerate elliptic equations in divergence form

Luisa Moschini (2005)

Annales de l'I.H.P. Analyse non linéaire

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Elliptic problems with nonmonotone discontinuities at resonance.

Nikolaos, Halidias (2002)

Abstract and Applied Analysis

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A multidimensional version of a result of Davenport-Erdős.

Chan, O-Yeat, Choi, Geumlan, Zaharescu, Alexandru (2003)

Journal of Integer Sequences [electronic only]

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Existence theorems for elliptic hemivariational inequalities involving the $p$ -Laplacian.

Kourogenis, Nikolaos C., Papageorgiou, Nikolaos S. (2002)

Abstract and Applied Analysis

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