Ekeland's variational principle

In mathematical analysis, Ekeland's variational principle, discovered by Ivar Ekeland, is a theorem that asserts that there exists nearly optimal…

Papers overview

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2018

In this work, we present a new derivation of higher order variational integration methods that exploit the phase lag properties…

2017

This paper provides results forvariational eigencurvesassociated with self-adjoint linear elliptic boundary value problems. The…

2016

Abstract. Often, Lagrange’s formalism based on the Lagrangian is the preferred way in order to derive equations of motion for a…

2013

We establish a vectorial Ekeland’s variational principle where the objective function is from bornological vector spaces into…

2011

Sparse modeling and estimation of complex signals is not unc ommon in practice. However, historically, much attention has been…

2010

The main purpose of this paper is to introduce and study a new class of generalized nonlinear set-valued quasi-variational…

2008

In this paper, we first give a vector-valued version of Brézis and Browder’s scalar general principle. We then apply the vector…

2007

In this paper, we prove the existence theorems of two types of systems of variational inclusions problem. From these existence…

2002

1999

AbstractThis paper deals with perturbed dynamical systems of the form: $$ - \ddot u + u = \nabla V\left( u \right) + \varepsilon…