Three-dimensional vortices in Abelian gauge theories

Nonlinear Analysis, Theory, Methods and Applications

Volumn 70, Issue 12, 2009, Pages 4402-4421

  Benci, Vieri ^a   Fortunato, Donato ^b  

^a UNIVERSITY OF PISA   (Italy)

^b INFN SEZIONE DI BARI   (Italy)

Author keywords

Abelian gauge theories; Critical points; Solitary waves; Vortices

Indexed keywords

ELECTROMAGNETIC FIELD THEORY; EQUATIONS OF STATE; LIQUID WAVES; MAGNETIC FIELDS; MAXWELL EQUATIONS; THREE DIMENSIONAL; VORTEX FLOW; WAVES;

ABELIAN GAUGE THEORIES; CRITICAL POINTS; FINITE ENERGIES; KLEIN-GORDON; MINKOWSKI; SOLITARY WAVES; SYSTEM OF EQUATIONS; VORTEX SOLUTIONS; VORTICES;

GAGES;

EID: 63449105811     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2008.10.023     Document Type: Article

References (17)

1. Abrikosov A.A. On the magnetic properties of superconductors of the second group. Sov. Phys. JETP 5 (1957) 1174-1182
2. Ambrosetti A., and Rabinowitz P. Dual variational methods in the critical point theory and applications. J. Funct. Anal. 14 (1973) 349-381
3. Benci V., and Fortunato D. Solitary waves of the nonlinear Klein-Gordon field equation coupled with the Maxwell equations. Rev. Math. Phys. 14 (2002) 409-420
4. V. Benci, D. Fortunato, Hylomorphic vortices in Abelian gauge theories, preprint, 2008
5. Benci V., and Fortunato D. Solitary waves in Abelian Gauge theories. Adv. Nonlinear Stud. 3 (2008) 327-352
6. Benci V., and Fortunato D. Solitary waves in the nonlinear wave equation and in gauge theories. J. Fixed Point Theory Appl. 1 (2007) 61-86
7. Cassani D. Existence and non-existence of solitary waves for the critical Klein-Gordon equation coupled with Maxwell's equations. Nonlinear Anal. 58 (2004) 733-747
8. D'Aprile T., and Mugnai D. Solitary waves for nonlinear Klein-Gordon-Maxwell and Schrödinger-Maxwell equations. Proc. Roy. Soc. Edinburgh, Sec. A Math. 134 (2004) 893-906
9. D'Aprile T., and Mugnai D. Non-existence results for the coupled Klein-Gordon-Maxwell equations. Adv. Nonlinear Stud. 4 (2004) 307-322
10. D'Avenia P., and Pisani L. Nonlinear Klein-Gordon equations coupled with Born-Infeld Equations. Electron. J. Differential Equations 26 (2002) 1-13
11. Esteban M., and Lions P.L. A compactness lemma. Nonlinear Anal. 7 (1983) 381-385
12. Felsager B. Geometry, Particles and Fields (1981), Odense University Press
13. Nielsen H., and Olesen P. Vortex-line models for dual strings. Nuclear Phys. B 61 (1973) 45-61
14. Rajaraman R. Solitons and Instantons (1989), North-Holland, Amsterdam
15. Rubakov V. Classical Theory of Gauge Fields (2002), Princeton University Press, Princeton
16. Struwe M. Variational Methods, Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems (1996), Springer, New York, Berlin
17. Yang Y. Solitons in Field Theory and Nonlinear Analysis (2000), Springer, New York, Berlin