Abstract
For p = n the critical Sobolev exponent becomes infinite. But D 1,n(Ω) ⊄ L∞(Ω). Instead D 1,n embeds into the Orlicz space given by the Trudinger-Moser inequality. The analysis of low energy limits in the conformai case differs in many respects from the subconformai case.
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© 1999 Springer Basel AG
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Flucher, M. (1999). Conformal Low Energy Limits. 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_12
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DOI: https://doi.org/10.1007/978-3-0348-8687-1_12
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9729-7
Online ISBN: 978-3-0348-8687-1
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