| Abstract: |
| In this talk, we show the existence of non-topological solutions to the self-dual Einstein-Maxwell-Higgs equations on a compact surface when the parameter $\varepsilon>0$ is small enough and the total string number $N$ is bigger than two. Based on degree theory and blowup analysis, we find non-topological solutions.
(This was supported by Korea National University of Transportation in 2023) |
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