Search results for "Condition"

Nonlinear nonhomogeneous Neumann eigenvalue problems

2015

We consider a nonlinear parametric Neumann problem driven by a nonhomogeneous differential operator with a reaction which is $(p-1)$-superlinear near $\pm\infty$ and exhibits concave terms near zero. We show that for all small values of the parameter, the problem has at least five solutions, four of constant sign and the fifth nodal. We also show the existence of extremal constant sign solutions.

On the number of solutions of a Duffing equation

1991

The exact number of solutions of a Duffing equation with small forcing term and homogeneous Neumann boundary conditions is given. Several bifurcation diagrams are shown.

A boundary min-max principle as a tool for boundary element formulations

1991

Abstract A min-max principle for elastic solids, expressed in terms of the unknown boundary displacements and tractions, is presented. It is shown that its Euler-Lagrange equations coincide with the classical boundary integral equations for displacements and for tractions. This principle constitutes a suitable starting point for a symmetric sign-definite formulation of the boundary element method.

Norm estimates for operators from Hp to ℓq

2008

Abstract We give upper and lower estimates of the norm of a bounded linear operator from the Hardy space H p to l q in terms of the norm of the rows and the columns of its associated matrix in certain vector-valued sequence spaces.

Multiplicity of solutions for two-point boundary value problems with asymptotically asymmetric nonlinearities

1996

Porous medium equation with absorption and a nonlinear boundary condition

2002

where is a bounded domain with smooth boundary, @=@ is the outer normal derivative, m ? 1; p; and q are positive parameters and u0 is in L∞( ). Problems of this form arise in mathematical models in a number of areas of science, for instance, in models for gas or :uid :ow in porous media [3] and for the spread of certain biological populations [13]. In the semilinear case (that is for m=1), there is an extensive literature about global existence and blow-up results for this type of problems, see among others, [5,9,16] and the literature therein. For the degenerate case (that is for m = 1), with a nonlinear boundary condition, local existence and uniqueness of weak solutions which are limit o…

ANALYSIS OF A SPHERICAL HARMONICS EXPANSION MODEL OF PLASMA PHYSICS

2004

A spherical harmonics expansion model arising in plasma and semiconductor physics is analyzed. The model describes the distribution of particles in the position-energy space subject to a (given) electric potential and consists of a parabolic degenerate equation. The existence and uniqueness of global-in-time solutions is shown by semigroup theory if the particles are moving in a one-dimensional interval with Dirichlet boundary conditions. The degeneracy allows to show that there is no transport of particles across the boundary corresponding to zero energy. Furthermore, under certain conditions on the potential, it is proved that the solution converges in the long-time limit exponentially f…

La Société française : de 1945 à nos jours

2015

International audience; Du plein emploi des Trente Glorieuses au chômage de masse, de l'explosion de la consommation aux nouvelles formes de précarité, de la démocratisation de l'enseignement aux mutations technologiques, sans oublier les métamorphoses de la famille, la montée de l'écologie... les auteurs de ce dossier dégagent ici les lignes de force qui ont façonné la société française après la Seconde Guerre mondiale. Les illustrations variées, les graphiques et les cartes qui accompagnent ces développements soulignent le passage d'un monde à l'autre.

Santé du sportif, conditions suspensives et contrat de travail à durée déterminée

2008

International audience; Besançon, 16 novembre 2007, n° 06/02597

L'opposabilité de la clause compromissoire stipulée dans les conditions générales de l'une des parties à son cocontractant

2018

International audience; (Civ. 1re, 9 nov. 2016, n° 15-25.554, Sté Vanille et produits c/ Sté Monapro BV, inédit, FD)