Concepedia

Some remarks on Lower semicontinuity

Irene Fonseca, Giovanni Leoni

Indiana University Mathematics Journal · 2000 · 22 citations · 19 references

DOIFull text

Open access

Concepts

Abstract

Classical lower semicontinuity results obtained by Serrin in the scalar case are extended to the vectorial setting for convex and polyconvex integrands.

References

19

Real and Complex Analysis.

G. A. Garreau, Walter Rudin · Journal of the Royal Statistical Society Series D (The Statistician) · 1987 · 11K citations

, , +16

Convexity conditions and existence theorems in nonlinear elasticity

J. M. Ball · Archive for Rational Mechanics and Analysis · 1976 · 2.4K citations

, , +15

Semicontinuity problems in the calculus of variations

E. Acerbi, Nicola Fusco · Archive for Rational Mechanics and Analysis · 1984 · 608 citations

, , +10

W1,p-quasiconvexity and variational problems for multiple integrals

J. M. Ball, François Murat · Journal of Functional Analysis · 1984 · 489 citations

, , +11

On the definition and the lower semicontinuity of certain quasiconvex integrals

Paolo Marcellini · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 1986 · 204 citations · Full text

, , +4