LOWER SEMICONTINUITY RESULTS FOR FREE DISCONTINUITY ENERGIES-Reference-Cited by-同舟云学术

LOWER SEMICONTINUITY RESULTS FOR FREE DISCONTINUITY ENERGIES

Published:2010-05 Issue:05 Volume:20 Page:707-730
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

AMAR M.¹,DE CICCO V.¹,FUSCO N.²

Affiliation:

1. Dipartimento di Metodi e Modelli Matematici, Università di Roma "La Sapienza", Via A. Scarpa 16, 00161 Roma, Italy

2. Dipartimento di Matematica e Applicazioni, Università di Napoli "Federico II", Complesso di Monte Sant'Angelo, Via Cintia, 80126 Napoli, Italy

Abstract

We establish new lower semicontinuity results for energy functionals containing a very general volume term of polyconvex type and a surface term depending on the spatial variable in a discontinuous way.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202510004416

Reference28 articles.

1. Semicontinuity problems in the calculus of variations

2. Relaxation in BV for a class of functionals without continuity assumptions

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4. Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands

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