One iterative method concerning the solution of Dirichlet's problem
One-dimensional model for surface gravitational waves in a mountain reservoir.
One-dimensional symmetry for solutions of quasilinear equations in
In this paper we consider two-dimensional quasilinear equations of the form and study the properties of the solutions u with bounded and non-vanishing gradient. Under a weak assumption involving the growth of the argument of (notice that is a well-defined real function since on ) we prove that is one-dimensional, i.e., for some unit vector . As a consequence of our result we obtain that any solution having one positive derivative is one-dimensional. This result provides a proof of...
One-dimensional symmetry of periodic minimizers for a mean field equation
We consider on a two-dimensional flat torus defined by a rectangular periodic cell the following equationIt is well-known that the associated energy functional admits a minimizer for each . The present paper shows that these minimizers depend actually only on one variable. As a consequence, setting to be the first eigenvalue of the Laplacian on the torus, the minimizers are identically zero whenever . Our results hold more generally for solutions that are Steiner symmetric, up to a translation....
One-sided Mullins-Sekerka flow does not preserve convexity.
One-sided resonance for quasilinear problems with asymmetric nonlinearities.
Opening gaps in the spectrum of strictly ergodic Schrödinger operators
We consider Schrödinger operators with dynamically defined potentials arising from continuous sampling along orbits of strictly ergodic transformations. The Gap Labeling Theorem states that the possible gaps in the spectrum can be canonically labelled by an at most countable set defined purely in terms of the dynamics. Which labels actually appear depends on the choice of the sampling function; the missing labels are said to correspond to collapsed gaps. Here we show that for any collapsed gap,...
Opérateur de Schrödinger avec champ magnétique
Opérateur de Schrödinger avec une métrique
Opérateur de Schrödinger pour un champ magnétique constant sur l'espace euclidien à deux dimensions
Opérateurs de Schrödinger avec champ magnétique
Opérateurs de Schrödinger avec champs magnétiques faibles et constants
Opérateurs de Schrödinger avec potentiel singuliér magnétique, dans un ouvert arbitraire de
Opérateurs de temps-retard dans la théorie de la diffusion
Opérateurs elliptiques et problème de Cauchy
Opérateurs géométriques et géométrie conforme
Opérateurs intégraux de Fourier et le problème de la dérivée oblique
Opérateurs maximaux associés à une classe d'opérateurs elliptiques fortement dégénérés sur la frontière. Application au calcul de l'indice pour une classe de problèmes aux limites associés à ces opérateurs
Opérateurs pseudo-différentiels et capacités symplectiques
Operator preconditioning with efficient applications for nonlinear elliptic problems
This paper is devoted to the numerical solution of nonlinear elliptic partial differential equations. Such problems describe various phenomena in science. An approach that exploits Hilbert space theory in the numerical study of elliptic PDEs is the idea of preconditioning operators. In this survey paper we briefly summarize the main lines of this theory with various applications.