We prove a lower semicontinuity theorem for a polyconvex functional of integral form, related to maps $u:\Omega \subset \mathbb{R}^{n}\rightarrow \mathbb{R}^{m}$ in $W^{1,n}(\Omega ;\mathbb{R}^{m})$ with $n\geq m\geq 2$, with respect to the weak $W^{1,p}$-convergence for $p>m-1$, without assuming any coercivity condition.
Lower semicontinuity for polyconvex integrals without coercivity assumptions / Amar, Micol; DE CICCO, Virginia. - In: EVOLUTION EQUATIONS AND CONTROL THEORY. - ISSN 2163-2480. - STAMPA. - 3:(2014), pp. 363-372. [10.3934/eect.2014.3.363]
Lower semicontinuity for polyconvex integrals without coercivity assumptions
AMAR, Micol;DE CICCO, Virginia
2014
Abstract
We prove a lower semicontinuity theorem for a polyconvex functional of integral form, related to maps $u:\Omega \subset \mathbb{R}^{n}\rightarrow \mathbb{R}^{m}$ in $W^{1,n}(\Omega ;\mathbb{R}^{m})$ with $n\geq m\geq 2$, with respect to the weak $W^{1,p}$-convergence for $p>m-1$, without assuming any coercivity condition.File allegati a questo prodotto
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