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Currently displaying 1 – 3 of 3

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Minimum problems on $S B V$ with irregular boundary datum

Pietro Celada — 1997

Rendiconti del Seminario Matematico della Università di Padova

Further remarks on the lower semicontinuity of polyconvex integrals

Pietro Celada; Gianni Dal Maso — 1994

Annales de l'I.H.P. Analyse non linéaire

Existence and regularity of minimizers of nonconvex integrals with growth

Pietro Celada; Giovanni Cupini; Marcello Guidorzi — 2007

ESAIM: Control, Optimisation and Calculus of Variations

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.

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