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Title of Journal: Calc Var

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Abbravation: Calculus of Variations and Partial Differential Equations

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Springer-Verlag

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DOI

10.1007/s11182-013-0082-9

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1432-0835

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On a quasilinear system involving the operator cur

Authors: XingBin Pan
Publish Date: 2009/03/17
Volume: 36, Issue: 3, Pages: 317-
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Abstract

This paper concerns a quasilinear system involving the operator curl This system is an approximation of the anisotropic Ginzburg–Landau system which describes the Meissner state of type II superconductors The existence of the weak solutions of the quasilinear system is proved by applying a variational method to a modified functional and the C 2+α regularity of the weak solutions H is established without assuming the boundedness of curl H

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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. Energy asymptotics for Type II superconductors
  16. Regularity for fully nonlinear nonlocal parabolic equations with rough kernels
  17. Singular points of Hölder asymptotically optimally doubling measures
  18. Weak KAM theory for a weakly coupled system of Hamilton–Jacobi equations
  19. Cahn–Hilliard–Navier–Stokes systems with moving contact lines
  20. A mean field type flow part I: compactness of solutions to a perturbed mean field type equation
  21. Boundary value problems for Willmore curves in $$\mathbb {R}^2$$
  22. Fractional eigenvalues
  23. A Penrose inequality for graphs over Kottler space
  24. Moser–Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2
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