THE EXISTENCE THEOREMS FOR CRITICAL POINTS OF A CLASS OF FUNCTIONALS

Based on the notion of approximation, kind of sequence index (or,for simplicity ,S-index)for a class of functional on an infinite dimensional real Hilbert space is defined,and its significance in the critical point theory is investigated. Hence the S-index as a new theoretical tool to deal with the critical point problems for a class of functionals on the infinite dimensional Hilbert space is introduced.

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Clc Number:

O177.91