Function variational principles and coercivity
type: Item
instance of: scholarly article
title: Function variational principles and coercivity
zbMATH Open document ID: 1065.49012
author: Mihai Turinici
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-04-18T00:00:00Z
review text: The author shows that an extension of Zhong's variational principle can be deduced from Ekeland's variational principle by using the properties of so-called normal functions. An application is given to study the coercivity under the assumption of the Palais-Smale condition in a generalized form.
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 2157565
zbMATH Keywords: variational principle
zbMATH Keywords: lower semicontinuous function
zbMATH Keywords: order
zbMATH Keywords: normal function
zbMATH Keywords: coercivity
zbMATH Keywords: Gâteaux differential
zbMATH Keywords: Palais-Smale condition
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.09.022
OpenAlex ID: W2019216329
cites work: A generalization of the Brézis-Browder principle on ordered sets
cites work: Are several recent generalizations of Ekeland's variational principle more general than the original principle?
cites work: Sur le théorème de Zorn
cites work: A general principle on ordered sets in nonlinear functional analysis
cites work: Topologische Maximalprinzipien
cites work: A note on Palais-Smale condition and coercivity
cites work: Q4076508
cites work: Q3314563
cites work: On the variational principle
cites work: Nonconvex minimization problems
cites work: A note on Palais-Smale condition in the sense of Szulkin
cites work: On generalized ordering principles in nonlinear analysis
cites work: Q4205443
cites work: Q3960633
cites work: A version of Zhong's coercivity result for a general class of nonsmooth functionals
cites work: Q4542907
cites work: A nonconvex vector minimization problem
cites work: On the ray-walker extension of the Caristi-Kirk fixed point theorem
cites work: Mapping theorems for gateaux differentiable and accretive operators
cites work: Generalized distance and existence theorems in complete metric spaces
cites work: Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear terms
cites work: Q3899169
cites work: A Generalization of Altman's Ordering Principle
cites work: A general maximality principle and a fixed point theorem in uniform space
cites work: On the Principle of Dependent Choices and Some Forms of Zorn's Lemma
cites work: On a Fixed Point Theorem of Contractive Type
cites work: A generalization of Ekerland's variational principle and application to the study of the relation between the weak P.S. condition and coercivity
cites work: On Ekeland's variational principle and a minimax theorem
DOI: 10.1016/J.JMAA.2004.09.022
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description: scientific article; zbMATH DE number 2157565