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Mountain pass solution for the self-dual Einstein–Maxwell–Higgs model on compact surfaces
In this paper, we find two different solutions for the self-dual Maxwell–Higgs model coupled with gravitational fields by employing variational methods. One is a local minimizer and the other is the mountain pass solution.
期刊介绍:
Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects:
mathematical problems of modern physics;
complex analysis and its applications;
asymptotic problems of differential equations;
spectral theory including inverse problems and their applications;
geometry in large and differential geometry;
functional analysis, theory of representations, and operator algebras including ergodic theory.
The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.