Minima of some non convex non coercive problems
type: Item
instance of: scholarly article
title: Minima of some non convex non coercive problems
zbMATH Open document ID: 0807.49017
DOI: 10.1007/BF01765844
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1995-03-01T00:00:00Z
review text: The authors give an existence proof for a solution of the following problem of the calculus of variations: \[ \int^ 1_ 0 f(x,u,u')dx+ \widetilde h\left( \int^{u(1)}_ 0 a(0,s)ds+ \int^ \lambda_{u(1)} a(1,s)ds\right)\to \min_{u\in \overline w_ p}, \] where \(\overline w_ p= \bigl\{u\in w^{1,p}_{\text{loc}}(0,1)\mid u(0)\geq 0,\;u(1)\leq \lambda,\;u'\geq 0\;\text{a.e.}\bigr\}\) and \(\lambda\in \mathbb{R}_ +\), \(p\geq 1\).
Mathematics Subject Classification ID: 49J99
zbMATH DE Number: 590101
zbMATH Keywords: non coercive problem
zbMATH Keywords: minima
author: D. Giachetti
author: Rosanna Schianchi
reviewed by: Hans Benker
MaRDI profile type: Publication
cites work: Convexity conditions and existence theorems in nonlinear elasticity
cites work: Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
cites work: A general approach to the existence of minimizers of one-dimensional non- coercive integrals of the calculus of variations
cites work: Q4729445
cites work: Q3972448
cites work: Q5518064
full work available at URL: https://doi.org/10.1007/bf01765844
OpenAlex ID: W1995910664
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description: scientific article; zbMATH DE number 590101