On the shape of Meissner solutions to the 2-dimensional Ginzburg–Landau system

Author:

Pan Xing-Bin,Xiang Xingfei

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference33 articles.

1. Adams, R.A.: Sobolev spaces. Academic Press, New York (1975)

2. Agmon, S.: Lectures on exponential decay of solutions of second order elliptic equations. Princeton Univ. Press, Princeton (1982)

3. Bates, P., Pan, X.B.: Nucleation of instability in Meissner state of 3-dimensional superconductors. Comm. Math. Phys. 276, 571–610 (2007). (Erratum, 283 (2008), 861)

4. Berestycki, H., Bonnet, A., Chapman, S.J.: A semi-elliptic system arising in the theory of type-II superconductivity. Comm. Appl. Nonlinear Anal. 1, 1–21 (1994)

5. Bonnet, A., Chapman, S.J., Monneau, R.: Convergence of Meissner minimizers of the Ginzburg-Landau energy of superconductivity as $$\kappa \rightarrow \infty $$. SIAM J. Math. Anal. 31, 1374–1395 (2000)

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