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In this note we solve a minimization problem arising in a recent work of Bolognesi and Tong on the determination of an AdS monopole wall. We show that the problem… Click to show full abstract
In this note we solve a minimization problem arising in a recent work of Bolognesi and Tong on the determination of an AdS monopole wall. We show that the problem has a unique solution. Although the solution cannot be obtained explicitly, we show that it may practically be constructed via a shooting method for which the correct shooting slope is unique. We also obtain some energy estimates which allow an asymptotic explicit determination of the monopole wall in a large coupling parameter limit.
Keywords:
minimization;
monopole wall;
determination anti;
determination
Journal Title: Journal of Mathematical Physics
Year Published: 2019
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Journal Title: Journal of Mathematical Physics
Year Published: 2019
Link to full text (if available)
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recommendations!