Abstract
In this paper, we establish an existence theorem for the BPS vortex equations, which arise in the effective theory of a brane‐antibrane system in string theory. Our main strategy is as follows: First, the problem is reduced in a nonlinear elliptic equation over , and for which a subsolution and supersolution pair is obtained by weighted Sobolev space techniques and a variational argument, then the existence of a bounded solution is proved by a monotone iteration method. Moreover, the asymptotic behavior of the solution is analyzed, and the solution for original BPS equations can be recovered.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
