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

Research output: Contribution to journal › Article › 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.

Original language	English
Pages (from-to)	149-189
Number of pages	41
Journal	Archive for Rational Mechanics and Analysis
Volume	100
Issue number	2
DOIs	https://doi.org/10.1007/BF00282202
Publication status	Published - Jun 1988
Externally published	Yes

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10.1007/BF00282202

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title = "General existence theorems for unilateral problems in continuum mechanics",

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.",

author = "Claudio Baiocchi and Giuseppe Buttazzo and Fabio Gastaldi and Franco Tomarelli",

year = "1988",

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doi = "10.1007/BF00282202",

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AU - Baiocchi, Claudio

AU - Buttazzo, Giuseppe

AU - Gastaldi, Fabio

AU - Tomarelli, Franco

PY - 1988/6

Y1 - 1988/6

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0001491896

U2 - 10.1007/BF00282202

DO - 10.1007/BF00282202

M3 - Article

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VL - 100

SP - 149

EP - 189

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

IS - 2

ER -

General existence theorems for unilateral problems in continuum mechanics

Abstract

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