$\Gamma $-convergence and absolute minimizers for supremal functionals

Thierry Champion; Luigi De Pascale; Francesca Prinari

Displaying similar documents to “ $Γ$ -convergence and absolute minimizers for supremal functionals”

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 $W^{k - 1, 1} (Ω; R^{d})$ .

Integral functionals determined by their minima

Gianni Dal Maso, Luciano Modica (1986)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Regularity results for anisotropic image segmentation models

Irene Fonseca, Nicola Fusco (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Existence and regularity of minimizers of nonconvex integrals with growth

Pietro Celada, Giovanni Cupini, Marcello Guidorzi (2007)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We show that local minimizers of functionals of the form $\int_{Ω} [f (D u (x)) + g (x, u (x))] d x$ , $u \in u_{0} + W_{0}^{1, p} (Ω)$ , are locally Lipschitz continuous provided is a convex function with $p - q$ growth satisfying a condition of qualified convexity at infinity and is Lipschitz continuous in . As a consequence of this, we obtain an existence result for a related nonconvex functional.

Displaying similar documents to “ Γ -convergence and absolute minimizers for supremal functionals”

On lower semicontinuity in the calculus of variations

Integral functionals determined by their minima

Regularity results for anisotropic image segmentation models

Existence and regularity of minimizers of nonconvex integrals with growth

Displaying similar documents to “ $Γ$ -convergence and absolute minimizers for supremal functionals”