EuDML | Browse

We consider complex-valued solutions $u_{ε}$ of the Ginzburg–Landau equation on a smooth bounded simply connected domain $Ω$ of $ℝ^{N}$ , $N \geq 2$ , where $ε > 0$ is a small parameter. We assume that the Ginzburg–Landau energy $E_{ε} (u_{ε})$ verifies the bound (natural in the context) $E_{ε} (u_{ε}) \leq M_{0} | log ε |$ , where $M_{0}$ is some given constant. We also make several assumptions on the boundary data. An important step in the asymptotic analysis of $u_{ε}$ , as $ε \to 0$ , is to establish uniform $L^{p}$ bounds for the gradient, for some $p > 1$ . We review some recent techniques developed in...

Uniform estimates for the parabolic Ginzburg–Landau equation

F. Bethuel, G. Orlandi (2010)

ESAIM: Control, Optimisation and Calculus of Variations

We consider complex-valued solutions uE of the Ginzburg–Landau equation on a smooth bounded simply connected domain Ω of $ℝ^{N}$ , N ≥ 2, where ε > 0 is a small parameter. We assume that the Ginzburg–Landau energy $E_{ε} (u_{ε})$ verifies the bound (natural in the context) $E_{ε} (u_{ε}) \leq M_{0} | log ε |$ , where M0 is some given constant. We also make several assumptions on the boundary data. An important step in the asymptotic analysis of uE, as ε → 0, is to establish uniform Lp bounds for the gradient, for some p>1. We review some...

Uniqueness for a semilinear elliptic equation in non-contractible domains under supercritical growth conditions.

Zhang, Kewei (1999)

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

Uniqueness for the harmonic map flow from surface to general targets.

Alexandre Freire (1995)

Commentarii mathematici Helvetici

Uniqueness of Harmonie Mappings and of Solutions of Elliptic Equations on Riemannnian Manifolds.

Willi Jäger, Helmut Kaul (1979)

Mathematische Annalen

Unitons and their moduli.

Anand, Christopher Kumar (1996)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Unstable Solutions of the Euler Equations of Certain Variational Problems.

Gerhard Ströhmer (1984)

Mathematische Zeitschrift

Upper bound for the number of eigenvalues for nonlinear operators

S. Fučik, J. Nečas, J. Souček, V. Souček (1973)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Upper critical field and location of surface nucleation of superconductivity

Bernard Helffer, Xing-Bin Pan (2003)

Annales de l'I.H.P. Analyse non linéaire

Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms.

Michor, Peter W., Mumford, David (2005)

Documenta Mathematica

Variational approaches for the existence of multiple periodic solutions of differential delay equations.

Cheng, Rong, Hu, Jianhua (2010)

Abstract and Applied Analysis

Variational characterization of equations of motion in bundles of embeddings.

Hernán Cendra, Ernesto A. Lacomba (1989)

Revista Matemática Iberoamericana

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.

Frank Duzaar (1987)

Journal für die reine und angewandte Mathematik

Variational inequalities in Banach spaces

J. S. Jovanov (1989)

Matematički Vesnik

Currently displaying 1101 – 1120 of 1170

Previous Page 56 Next