Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms.
Variational approaches for the existence of multiple periodic solutions of differential delay equations.
Variational characterization of equations of motion in bundles of embeddings.
In this paper we study variational principles for a general situation which includes free boundary problems with surface tension. Following [2], our main result concerns a variational principle in a infinite dimensional principal bundle of embeddings of a compact region D in a manifold M having the same dimension as D. By considering arbitrary variations, free boundary problems are included, while variations parallel to the boundary permit to consider fluid motion or flow of Hamiltonian vector fields...
Variational inequalities and harmonic mappings.
Variational inequalities in Banach spaces
Variational Inequalities with One-Sided Irregular Obstacles.
Variational method to the impulsive equation with Neumann boundary conditions.
Variational methods in nonlinear problems
Variational principle for nonlinear Schrödinger equation with high nonlinearity.
Variational principles for differential equations with symmetries and conservation laws. I. Second order scalar equations.
Variational problems for riemannian functionals and arithmetic groups
Variations by generalized symmetries of local Noether strong currents equivalent to global canonical Noether currents
We will pose the inverse problem question within the Krupka variational sequence framework. In particular, the interplay of inverse problems with symmetry and invariance properties will be exploited considering that the cohomology class of the variational Lie derivative of an equivalence class of forms, closed in the variational sequence, is trivial. We will focalize on the case of symmetries of globally defined field equations which are only locally variational and prove that variations of local...
Variations of (para-)Hodge structures and their period maps in tt*-geometry.
Vers une théorie des points critiques à l'infini
Verzweigungspunkte von H-Flächen. I.
Verzweigungspunkte von H-Flächen. II .
Volumes, courbure de Ricci et convergence des variétés
Vortex motion and phase-vortex interaction in dissipative Ginzburg-Landau dynamics
We discuss the asymptotics of the parabolic Ginzburg-Landau equation in dimension Our only asumption on the initial datum is a natural energy bound. Compared to the case of “well-prepared” initial datum, this induces possible new energy modes which we analyze, and in particular their mutual interaction. The two dimensional case is qualitatively different and requires a separate treatment.
Vortex rings for the Gross-Pitaevskii equation
We provide a mathematical proof of the existence of traveling vortex rings solutions to the Gross–Pitaevskii (GP) equation in dimension . We also extend the asymptotic analysis of the free field Ginzburg–Landau equation to a larger class of equations, including the Ginzburg–Landau equation for superconductivity as well as the traveling wave equation for GP. In particular we rigorously derive a curvature equation for the concentration set (i.e. line vortices if ).