Abstract
In this chapter we show that low energy extremals concentrate at a single point and we analyze their local behaviour near the concentration point. The corresponding semilinear results have been obtained with S. Müller [55]. In the smooth case additional information can be derived from the Euler Lagrange equation. For the supremum in the variational problem (1.2) we use the following abbreviation.
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© 1999 Springer Basel AG
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Flucher, M. (1999). Concentration and Limit Shape of Low Energy Extremals. In: Variational Problems with Concentration. Progress in Nonlinear Differential Equations and Their Applications, vol 36. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8687-1_7
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DOI: https://doi.org/10.1007/978-3-0348-8687-1_7
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9729-7
Online ISBN: 978-3-0348-8687-1
eBook Packages: Springer Book Archive