Abstract
In this paper we study a nonlinear magneto-static model on a general domain in R3 which is multiply-connected and has holes, and under a nonlinear relation between the magnetic induction B and the magnetic field H. The equation of the model contains a Neumann field h1∈H1(Ω) and a Dirichlet field h2∈H2(Ω), which represent the effects of domain topology. In the case of a general electric current, the equation contains also an unknown gradient ∇p(x), which represents the electric field. Existence results of solutions of the boundary value problems of this model and of a more general nonlinear Maxwell-Stokes system with topological parameters h1 and h2 are proved, which exhibit the effects of domain topology on the electromagnetic fields and on the nonlinear systems involving curl.
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.
