Abstract
In the preceding chapter we have seen that (weak sequential) lower semi-continuity and (weak sequential) compactness of the sub-level sets of a functional E on a Banach space V suffice to guarantee the existence of a minimizer of E.
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Notes
Chang, K. C.: Variational methods and sub-and super-solutions. Sci. Sinica Ser. A 26 (1983) 1256–1265
Hofer, H.: Variational and topological methods in partially ordered Hilbert spaces. Math. Ann. 261 (1982) 493–514
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© 2000 Springer-Verlag Berlin Heidelberg
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Struwe, M. (2000). Minimax Methods. In: Variational Methods. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 34. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04194-9_2
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DOI: https://doi.org/10.1007/978-3-662-04194-9_2
Publisher Name: Springer, Berlin, Heidelberg
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