Displaying similar documents to “On lower semicontinuity in BV setting.”

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 ∈ W k , 1 ⁢ Ω ; R d ↦ ∫ Ω f ⁢ x , u ⁢ x , … ⁢ ∇ k ⁡ u ⁢ x ⁢ d ⁢ x quando f soddisfa a condizioni di semicontinuità nelle variabili x , u , … , ∇ 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 .

Generalizations of Sequential Lower Semicontinuity

Ada Aruffo, Gianfranco Bottaro (2008)

Bollettino dell'Unione Matematica Italiana

Similarity:

In [7] W.A. Kirk and L.M. Saliga and in [3] Y. Chen, Y.J. Cho and L. Yang introduced lower semicontinuity from above, a generalization of sequential lower semicontinuity, and they showed that well-known results, such as some sufficient conditions for the existence of minima, Ekeland's variational principle and Caristi's fixed point theorem, remain still true under lower semicontinuity from above. In the second of the above papers the authors also conjectured that, for convex functions...

Upper top spaces.

Molaei, M.R., Farhangdoost, M.R. (2006)

APPS. Applied Sciences

Similarity: