Approximation of Quasiconvex Functions, and Lower Semicontinuity of Multiple Integrals.

Paolo Marcellini

Displaying similar documents to “Approximation of Quasiconvex Functions, and Lower Semicontinuity of Multiple Integrals.”

Lower semicontinuity of quasiconvex integrals.

Jan Maly (1994)

Manuscripta mathematica

Similarity:

A Direct proof for lower semicontinuity of polyconvex functionals.

Nicola Fusco, John E. Hutchinson (1995)

Manuscripta mathematica

Similarity:

C1,... partial regularity of functions minimising quasiconvex integrals.

Nicola Fusco, John Hutchinson (1986)

Manuscripta mathematica

Similarity:

A Selection Lemma for Sequences of Measurable Sets, and Lower Semicontinuity of Multiple Integrals.

Goswin Eisen (1979)

Manuscripta mathematica

Similarity:

On lower semicontinuity in the calculus of variations

Giovanni Leoni (2001)

Bollettino dell'Unione Matematica Italiana

Similarity:

Vengono studiate proprietà di semicontinuità per integrali multipli $u \in W^{k, 1} (Ω; R^{d}) \mapsto \int_{Ω} f (x, u (x), \dots \nabla^{k} u (x)) d x$ quando $f$ soddisfa a condizioni di semicontinuità nelle variabili $(x, u, \dots, \nabla^{k - 1} u (x))$ e può non essere soggetta a ipotesi di coercitività, e le successioni ammissibili in $W^{k, 1} (Ω; R^{d})$ convergono fortemente in $W^{k - 1, 1} (Ω; R^{d})$ .