Dans ce travaille, nous considérons une classe d’équations elliptiques non homogenes avec des potentiels multipolaires de type Hardy et une non-linéarité critique de Sobolev dans un domaine ouvert de RN, N≥ 3. Par le ...

Le but de cet article est d'établir explicitement à partir d'hypothèses de localisation, des conditions algébriques de décomposition d'un système d'équations aux dérivées partielles à caractéristiques multiples de multiplicité ...

We investigate in this paper the theorem of Birkhoff normal form near an equilibrium point in infinite dimension and discuss the dynamical consequences for Schr¨odinger Hamiltonians. We calculate also the spectrum in ...

Dans cette thèse on s’est intéressé à deux classes d’équations elliptiques: - La première classe de problèmes contient un exposant critique et des poids singuliers. - La deuxième classe contient plusieurs exposants critiques ...

In this article we consider the problem− div (p (x)∇ u)=| u| 2∗− 2u+ λf in Ω u= 0 on∂ Ω where Ω is a bounded domain in RN, We study the relationship between the behavior of p near its minima on the existence of solutions.

To be able to refine the completion of C (H1, H2), the of set all closed densely defined linear operators between two Hilbert spaces H1 and H2, we define in this paper some new strictly stronger metrics than the gap metric ...

In Kaufman (Proc Amer Math Soc 72: 531–534, 1978) proved that the function defined by maps the set $$\fancyscript{C}_{0}(H)$$ of all pure contractions one-to-one onto the set $$\fancyscript{C}(H)$$ of all closed and densely ...

Let X and Y two complex Banach spaces and (A;B) a pair of bounded linear operators acting on X with value on Y: This paper is con- cerned with spectral analysis of the pair (A;B): We establish some properties concerning ...

In this paper we consider a class of nonhomogeneous elliptic equations involving multi-polar Hardy type potentials and a Sobolev critical nonlinearity in an open domain of , . By Ekeland's Variational Principle and the ...

In this article we establish the existence of at least two distinct solutions to singular elliptic equations involving a concave term and critical Ca arelli - Kohn - Nirenberg exponent with sign - changing weight functions .