A variational problem related to self-trapping of an electromagnetic field

Mathematical Methods in the Applied Sciences

Volumn 19, Issue 17, 1996, Pages 1397-1407

  Stuart, C A ^a   Zhou, H S ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

DIELECTRIC MATERIALS; DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; INTEGRATION; LAGRANGE MULTIPLIERS; LIGHT VELOCITY; MATHEMATICAL MODELS; PROBLEM SOLVING; VARIATIONAL TECHNIQUES;

CONSTRAINED VARIATIONAL PRINCIPLE; MOUNTAIN PASS THEOREM; NONZERO CRITICAL POINTS; SELF TRAPPING;

ELECTROMAGNETIC FIELDS;

EID: 0030291320     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(19961125)19:17<1397::AID-MMA833>3.0.CO;2-B     Document Type: Article

References (6)

1. Ambrosetti, A. and Rabinowitz, P. H., 'Dual variational methods in critical point theory and applications', J. Funct. Anal., 14, 349-381 (1973).
2. Bartolo, P., Benci, V. and Fortunato, D., 'Abstract critical point theorems and applications to some nonlinear problems with "strong" resonance at infinity', Nonlinear Anal. TMA, 7, 981-1012 (1983).
3. N, Indiana Univ. Math. J., 30, 141-157 (1981).
4. Brezis, H. and Oswald, L., 'Remarks on sublinear elliptic equations', Nonlinear Anal. TMA, 10, 55-64 (1986).
5. John, O. and Stuart, C. A., 'Guidance properties of a cylindrical defocusing waveguide, Comment. Math. Univ. Carolinae, 35, 653-673 (1994).
6. Stuart, C.A., 'Self-trapping of an electromagnetic field and bifurcation from the essential spectrum', Arch. Rat. Mech. Anal., 113, 65-96 (1991).