EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 221 – 240 of 2372

A Young measures approach to quasistatic evolution for a class of material models with nonconvex elastic energies

Alice Fiaschi (2008)

ESAIM: Control, Optimisation and Calculus of Variations

Rate-independent evolution for material models with nonconvex elastic energies is studied without any spatial regularization of the inner variable; due to lack of convexity, the model is developed in the framework of Young measures. An existence result for the quasistatic evolution is obtained in terms of compatible systems of Young measures. We also show as this result can be equivalently reformulated with probabilistic language and leads to the description of the quasistatic evolution in terms...

A $Γ$ -convergence result for variational integrators of lagrangians with quadratic growth

Francesco Maggi, Massimiliano Morini (2004)

ESAIM: Control, Optimisation and Calculus of Variations

Following the $Γ$ -convergence approach introduced by Müller and Ortiz, the convergence of discrete dynamics for lagrangians with quadratic behavior is established.

A Γ-convergence result for variational integrators of lagrangians with quadratic growth

Francesco Maggi, Massimiliano Morini (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Following the Γ-convergence approach introduced by Müller and Ortiz, the convergence of discrete dynamics for Lagrangians with quadratic behavior is established.

About the Morse Theory for Certain Variational Problems.

Gerhard Ströhmer (1985)

Mathematische Annalen

Absolutely minimizing Lipschitz extensions on a metric space.

Juutinen, Petri (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

Abstract evolution equations on variable domains : an approach by minimizing movements

Ugo Gianazza, Giuseppe Savaré (1996)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Abstract quasi-variational inequalities of elliptic type and applications

Yusuke Murase (2009)

Banach Center Publications

A class of quasi-variational inequalities (QVI) of elliptic type is studied in reflexive Banach spaces. The concept of QVI was earlier introduced by A. Bensoussan and J.-L. Lions [2] and its general theory has been developed by many mathematicians, for instance, see [6, 7, 9, 13] and a monograph [1]. In this paper we give a generalization of the existence theorem established in [14]. In our treatment we employ the compactness method along with a concept of convergence of nonlinear multivalued operators...

Abstract Subdifferential Calculus and Semi-Convex Functions

Ivanov, Milen, Zlateva, Nadia (1997)

Serdica Mathematical Journal

∗ The work is partially supported by NSFR Grant No MM 409/94.We develop an abstract subdifferential calculus for lower semicontinuous functions and investigate functions similar to convex functions. As application we give sufficient conditions for the integrability of a lower semicontinuous function.

Abstract theory of variational inequalities with Lagrange multipliers and application to nonlinear PDEs

Takeshi Fukao, Nobuyuki Kenmochi (2014)

Mathematica Bohemica

Recently, we established some generalizations of the theory of Lagrange multipliers arising from nonlinear programming in Banach spaces, which enable us to treat not only elliptic problems but also parabolic problems in the same generalized framework. The main objective of the present paper is to discuss a typical time-dependent double obstacle problem as a new application of the above mentioned generalization. Actually, we describe it as a usual parabolic variational inequality and then characterize...

Abstract variational problems with volume constraints

Marc Oliver Rieger (2004)

ESAIM: Control, Optimisation and Calculus of Variations

Existence results for a class of one-dimensional abstract variational problems with volume constraints are established. The main assumptions on their energy are additivity, translation invariance and solvability of a transition problem. These general results yield existence results for nonconvex problems. A counterexample shows that a naive extension to higher dimensional situations in general fails.