Journal ArticleDOI
General existence theorems for unilateral problems in continuum mechanics
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In this paper, the problem of minimizing a possibly nonconvex and non-coercive functional is studied and necessary or sufficient conditions for the existence of solutions are given, involving a generalized recession functional, whose properties are discussed thoroughly.Abstract:
The problem of minimizing a possibly non-convex and non-coercive functional is studied. Either necessary or sufficient conditions for the existence of solutions are given, involving a generalized recession functional, whose properties are discussed thoroughly. The abstract results are applied to find existence of equilibrium configurations of a deformable body subject to a system of applied forces and partially constrained to lie inside a possibly unbounded region.read more
Citations
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Constitutive equation and compatibility of the external loads for linear elastic masonry-like materials
TL;DR: The motivation of the constitutive equation of the masonry-like material is discussed in this paper. But the motivation is not discussed in this paper, as it is shown in the present paper.
Journal ArticleDOI
Characterization of optimal shapes and masses through Monge-Kantorovich equation
Guy Bouchitté,Giuseppe Buttazzo +1 more
TL;DR: In this paper, the authors study the problem of optimal distribution of masses and show that it can be characterized by a suitable Monge-Kantorovich equation, and they show the equivalence with a mass transport problem.
Journal ArticleDOI
New existence results for equilibrium problems
Alfredo N. Iusem,Wilfredo Sosa +1 more
TL;DR: In this article, the authors consider equilibrium problems in the framework of the formulation proposed by Blum and Oettli, which includes variational inequalities, Nash equilibria in non-cooperative games, and vector optimization problems, for instance, as particular cases.
Journal of Inequalities in Pure and Applied Mathematics
TL;DR: In this article, the authors propose a method to solve the problem of homonymity in homonymization, i.e., homonymisation of homonyms, e.g.,
Journal ArticleDOI
Existence Theorems for Generalized Noncoercive Equilibrium Problems: The Quasi-Convex Case
TL;DR: In this article, a characterization of the nonemptiness of the solution set for generalized non-coercive equilibrium problems (an extension of generalized quasi-variational inequalities) defined in reflexive Banach spaces in the quasi-convex case is provided.
References
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Book
Non-homogeneous boundary value problems and applications
TL;DR: In this paper, the authors consider the problem of finding solutions to elliptic boundary value problems in Spaces of Analytic Functions and of Class Mk Generalizations in the case of distributions and Ultra-Distributions.
Book
An introduction to variational inequalities and their applications
TL;DR: In this paper, the SIAM edition Preface Glossary of notations Introduction Part I. Variational Inequalities in Rn Part II. Free Boundary Problems Governed by Elliptic Equations and Systems Part VII. A One Phase Stefan Problem Bibliography Index.
BookDOI
Multiple integrals in the calculus of variations
TL;DR: In this paper, a variational method in the theory of harmonic integrals has been proposed to solve the -Neumann problem on strongly pseudo-convex manifolds and parametric Integrals two-dimensional problems.