An existence result for a non convex problem without upper growth conditions

We deal with existence of solutions of minimum problems for integral functionals with non convex, non coercive integrands. The result is obtained by using regularity and geometrical properties of the solutions of suitable approximating problems.

Bibliographic Details
Main Authors: D. GIACHETTI, R. SCHIANCHI
Format: Article
Language:English
Published: Sapienza Università Editrice 1994-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(3)/503-521.pdf
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author D. GIACHETTI
R. SCHIANCHI
author_facet D. GIACHETTI
R. SCHIANCHI
author_sort D. GIACHETTI
collection DOAJ
description We deal with existence of solutions of minimum problems for integral functionals with non convex, non coercive integrands. The result is obtained by using regularity and geometrical properties of the solutions of suitable approximating problems.
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spelling doaj.art-5c6e4927206a46359570ca1c906cb8202023-06-05T14:07:02ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33501994-01-01143503521An existence result for a non convex problem without upper growth conditionsD. GIACHETTI0R. SCHIANCHI1Dipartimento di Metodi e Modelli Matematici – Università di Roma “La Sapienza” – Via Scarpa, 16 – 00161 Roma, ItaliaDipartimento di Matematica – Università de L’Aquila – 67100 L’Aquila, ItaliaWe deal with existence of solutions of minimum problems for integral functionals with non convex, non coercive integrands. The result is obtained by using regularity and geometrical properties of the solutions of suitable approximating problems. https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(3)/503-521.pdfcalculus of variationsnon convexnon coercive integrandsexistence of minima
spellingShingle D. GIACHETTI
R. SCHIANCHI
An existence result for a non convex problem without upper growth conditions
Rendiconti di Matematica e delle Sue Applicazioni
calculus of variations
non convex
non coercive integrands
existence of minima
title An existence result for a non convex problem without upper growth conditions
title_full An existence result for a non convex problem without upper growth conditions
title_fullStr An existence result for a non convex problem without upper growth conditions
title_full_unstemmed An existence result for a non convex problem without upper growth conditions
title_short An existence result for a non convex problem without upper growth conditions
title_sort existence result for a non convex problem without upper growth conditions
topic calculus of variations
non convex
non coercive integrands
existence of minima
url https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(3)/503-521.pdf
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