JournalszaaVol. 20, No. 3pp. 553–563

On the Three “Essential” Critical Values Theorem

  • Berardino Sciunzi

    Università della Calabria, Arcavacata di Rende, Italy
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Abstract

Global methods of the calculus of variations and the infinite dimensional critical point theory of Ljusternik and Schnirelmann are applied to give results on the existence of so-called critical values and essential critical values. The case of continuous, not necessarily differentiable functionals is considered and studied introducing a suitable variant of the Palais-Smale condition.

Cite this article

Berardino Sciunzi, On the Three “Essential” Critical Values Theorem. Z. Anal. Anwend. 20 (2001), no. 3, pp. 553–563

DOI 10.4171/ZAA/1030