More than ten years have passed since the book of F. Bethuel, H. Brezis and F. H ́ elein,
which contributed largely to turning Ginzburg–Landau equations from a renowned physics …

We study the Ginzburg–Landau energy of superconductors with high κ, put in a prescribed
external field h ex, for h ex varying between the two critical fields Hc1 and Hc3. As κ→+∞ …

This paper is concerned with the existence of constant scalar curvature Kähler metrics on
blow-ups at finitely many points of compact manifolds which already carry constant scalar …

AMS :: Bulletin of the American Mathematical Society Skip to Main Content American
Mathematical Society American Mathematical Society MathSciNet Bookstore Publications …

We study a variational Ginzburg–Landau type model depending on a small parameter ε> 0
ε> 0 for (tangent) vector fields on a 2-dimensional Riemannian manifold S. As ε → 0 ε→ 0 …

Spiral waves are striking self-organized coherent structures that organize spatio-temporal
dynamics in dissipative, spatially extended systems. In this paper, we provide a conceptual …

In this article we obtain positive singular solutions of (1){− Δ pu=|∇ u| qin Ω, u= 0 on∂ Ω,
where Ω is a small C 2 perturbation of the unit ball in R N. For (p− 1) NN− 1< q< p< N we …

We construct a large class of nontrivial (nonradial) self-similar solutions of the generalized
surface quasi-geostrophic equations (gSQG). To the best of our knowledge, this is the first …

This book provides an introduction to the bifurcation theory approach to global solution
curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems …

In this paper we prove the existence of Kähler metrics of constant scalar curvature on the
blow up at finitely many points of a compact manifold that already carries a constant scalar …