Abstract
Condition (P.-S.) may seem rather restrictive. Actually, as Hildebrandt [4; p. 324] records, for quite a while many mathematicians felt convinced that inspite of its success in dealing with one-dimensional variational problems like geodesics (see Birkhoff’s Theorem I.4.4, for example, or Palais’ [3] work on closed geodesics), the Palais-Smale condition could never play a role in the solution of “interesting” variational problems in higher dimensions.
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© 2000 Springer-Verlag Berlin Heidelberg
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Struwe, M. (2000). Limit Cases of the Palais-Smale Condition. In: Variational Methods. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 34. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04194-9_3
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DOI: https://doi.org/10.1007/978-3-662-04194-9_3
Publisher Name: Springer, Berlin, Heidelberg
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