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- Lee, Youngae
- Nonlinear Analysis Lab.
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Existence of nontopological solutions of the self-dual Einstein-Maxwell-Higgs equations on compact surfaces
- Author(s)
- Han, Jongmin, Lee, Youngae, Sohn, Juhee
- Issued Date
- 2021-06
- Citation
- CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, v.60, no.3
- Abstract
- In this paper, we show the existence of nontopological solutions to the self-dual Einstein-Maxwell-Higgs equations on a compact surface when the parameter epsilon > 0 is small enough and the total string number N is bigger than two. This improves the previously known results by removing any extra conditions on N. Based on degree theory and blowup analysis, we introduce a new method to obtain nontopological solutions.
- Publisher
- SPRINGER HEIDELBERG
- ISSN
- 0944-2669
- Keyword (Author)
- Self-dual Einstein-Maxwell-Higgs equation, Existence of solutions
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