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Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2009

Minimization of a quasi-linear Ginzburg-Landau type energy

Carmen Perugia
  • Fonction : Auteur

Résumé

Let G be a smooth bounded domain in R(2). Consider the functional E(epsilon) (u) = 1/2 integral(G) (p(0) + t |x|(k) |u|(t)) |del u|(2) + 1/4 epsilon(2) integral(G) (1-|u|(2))(2) on the set H(g)(1) (G, C) = {u is an element of H(1)(G, C): u = g on partial derivative G} where g is a given boundary data with degree d >= 0. In this paper we will study the behavior of minimizers u(epsilon) of E(epsilon) and we will estimate the energy E(epsilon) (u(epsilon)). (C) 2008 Elsevier Ltd. All rights reserved.

Dates et versions

hal-00693127 , version 1 (01-05-2012)

Identifiants

Citer

Rejeb Hadiji, Carmen Perugia. Minimization of a quasi-linear Ginzburg-Landau type energy. Nonlinear Analysis: Theory, Methods and Applications, 2009, 71 (3-4), pp.860--875. ⟨10.1016/j.na.2008.11.078⟩. ⟨hal-00693127⟩
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