Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Calc Var

Search In Journal Title:

Abbravation: Calculus of Variations and Partial Differential Equations

Search In Journal Abbravation:

Publisher

Springer-Verlag

Search In Publisher:

DOI

10.1016/0921-5107(91)90023-o

Search In DOI:

ISSN

1432-0835

Search In ISSN:
Search In Title Of Papers:

Energy asymptotics for Type II superconductors

Authors: S Fournais B Helffer
Publish Date: 2005/09/13
Volume: 24, Issue: 3, Pages: 341-376
PDF Link

Abstract

We study the Ginzburg–Landau functional in the parameter regime describing ‘Type II superconductors’ In the exact regime considered minimizers are localized to the boundary — ie the sample is only superconducting in the boundary region Depending on the relative size of different parameters we describe the concentration behavior and give leading order energy asymptotics This generalizes previous results by Lu–Pan Helffer–Pan and Pan

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. Asymptotic behavior at isolated singularities for solutions of nonlocal semilinear elliptic systems of inequalities
  2. Fractional Poincaré inequality with finite total Q -curvature
  3. Solitary waves for a class of quasilinear Schrödinger equations in dimension two
  4. Thick clusters for the radially symmetric nonlinear Schrödinger equation
  5. On elliptic systems with Sobolev critical growth
  6. Critical points for functionals with quasilinear singular Euler–Lagrange equations
  7. Duality for rectified cost functions
  8. An approach to minimization under a constraint: the added mass technique
  9. Single-point condensation phenomena for a four-dimensional biharmonic Ren–Wei problem
  10. Uniqueness and nondegeneracy of positive radial solutions of $$\mathbf {div\,{\varvec{(}}{\varvec{\rho }} \nabla u{\varvec{)}} +{\varvec{\rho }}{\varvec{(}}-gu+hu^p{\varvec{)}}=0}$$
  11. Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds
  12. Lower bounds of Dirichlet eigenvalues for some degenerate elliptic operators
  13. Sharp energy estimates for nonlinear fractional diffusion equations
  14. On Newton equations which are totally integrable at infinity
  15. Regularity for fully nonlinear nonlocal parabolic equations with rough kernels
  16. Singular points of Hölder asymptotically optimally doubling measures
  17. Weak KAM theory for a weakly coupled system of Hamilton–Jacobi equations
  18. Cahn–Hilliard–Navier–Stokes systems with moving contact lines
  19. A mean field type flow part I: compactness of solutions to a perturbed mean field type equation
  20. Boundary value problems for Willmore curves in $$\mathbb {R}^2$$
  21. Fractional eigenvalues
  22. On a quasilinear system involving the operator curl
  23. A Penrose inequality for graphs over Kottler space
  24. Moser–Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2
Search Result: