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Currently displaying 1 – 9 of 9

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The second Yamabe invariant with singularities

Mohammed Benalili; Hichem Boughazi — 2012

Annales mathématiques Blaise Pascal

Let $(M, g)$ be a compact Riemannian manifold of dimension $n \geq 3$ .We suppose that $g$ is a metric in the Sobolev space $H_{2}^{p} (M, T^{*} M \otimes T^{*} M)$ with $p > \frac{n}{2}$ and there exist a point $P \in M$ and $δ > 0$ such that $g$ is smooth in the ball $B_{p} (δ)$ . We define the second Yamabe invariant with singularities as the infimum of the second eigenvalue of the singular Yamabe operator over a generalized class of conformal metrics to $g$ and of volume $1$ . We show that this operator is attained by a generalized metric, we deduce nodal solutions to a Yamabe type equation with...

Subalgebras of finite codimension in symplectic Lie algebra

Mohammed Benalili; Abdelkader Boucherif — 1999

Archivum Mathematicum

Subalgebras of germs of vector fields leaving $0$ fixed in $R^{2 n}$ , of finite codimension in symplectic Lie algebra contain the ideal of germs infinitely flat at $0$ . We give an application.

On a class of non linear differential operators of first order with singular point.

Benalili, Mohammed — 2005

Lobachevskii Journal of Mathematics

A property of the ideals of finite codimension of the Lie algebras of vector fields. (Une propriété des idéaux de codimension finie des algèbres de Lie de champs de vecteurs.)

Benalili, Mohammed; Lansari, Azzeddine — 2005

Journal of Lie Theory

Ideals of finite codimension in contact Lie algebra.

Benalili, Mohammed; Lansari, Azzedine — 2001

Journal of Lie Theory

Solving $p$ -Laplacian equations on complete manifolds.

Benalili, Mohammed; Maliki, Youssef — 2006

Electronic Journal of Differential Equations (EJDE) [electronic only]

Global stability of dynamic systems of high order.

Benalili, Mohammed; Lansari, Azzedine — 2007

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Generalized scalar curvature type equation on complete Riemannian manifolds.

Benalili, Mohammed; Maliki, Youssef — 2004

Electronic Journal of Differential Equations (EJDE) [electronic only]

Spectral properties of the adjoint operator and applications.

Benalili, Mohammed; Lansari, Azzedine — 2005

Lobachevskii Journal of Mathematics

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