General existence theorems for unilateral problems in continuum mechanics

Claudio Baiocchi; Giuseppe Buttazzo; Fabio Gastaldi; Franco Tomarelli

doi:10.1007/BF00282202

General existence theorems for unilateral problems in continuum mechanics

Claudio Baiocchi, Giuseppe Buttazzo, Fabio Gastaldi, Franco Tomarelli

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

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.

Lingua originale	Inglese
pagine (da-a)	149-189
Numero di pagine	41
Rivista	Archive for Rational Mechanics and Analysis
Volume	100
Numero di pubblicazione	2
DOI	https://doi.org/10.1007/BF00282202
Stato di pubblicazione	Pubblicato - giu 1988
Pubblicato esternamente	Sì

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10.1007/BF00282202

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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.",

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General existence theorems for unilateral problems in continuum mechanics

Abstract

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