Physics – Condensed Matter – Superconductivity
Scientific paper
Sep 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994rspsa.446..453c&link_type=abstract
Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0962-8444), vol. 446, no. 1928, p. 453-
Physics
Condensed Matter
Superconductivity
22
Cosmology, Elliptic Differential Equations, Gauge Theory, Nonlinear Equations, String Theory, Boundary Conditions, Electric Charge, Magnetic Flux, Superconductivity, Theorems
Scientific paper
We study radially symmetric solutions of a nonlinear elliptic partial differential equation in R2 with critical Sobolev growth, i.e. the nonlinearity is of exponential type. This problem arises from a wide variety of important areas in theoretical physics including superconductivity and cosmology. Our results lead to many interseting implications for the physical problems considered. For example, for the self-dual Chern-Simons theory, we are able to conclude that the electric charge, magnetic flux, or energy of a non-topological N-vortex solution may assume any prescribed value above an explicit lower bound. For the Einstein-matter-gauge equations, we find a necessary and sufficient condition for the existence of a self-dual cosmic string solution. Such a condition imposes an obstruction for the winding number of a string in terms of the universal gravitational constant.
Chen Xinfu
Hastings Stuart
McLeod Bryce J.
Yang Yisong
No associations
LandOfFree
A nonlinear elliptic equation arising from gauge field theory and cosmology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A nonlinear elliptic equation arising from gauge field theory and cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A nonlinear elliptic equation arising from gauge field theory and cosmology will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1712458