Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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REMARKS ON EKELAND’S VARIATIONAL PRINCIPLE FOR POLYNOMIAL FUNCTIONS

NGUYEN THI THAO

pp. 231-242

Abstract

In this paper, we provide a method to determine points $v \in \mathbb R^n$ which satisfy Ekeland’s variational principle, and also to choose Palais-Smale minimizing sequences that satisfy the second order condition for polynomial functions bounded from below on $\mathbb R^n$ .