This paper is concerned with regularity of minimizers of integral functionals with polyconvex potentials. In particular we obtain bounds on the difference |u−u∗|∞ for minimizers u:Ω⊂R3→R3 of problem min∫Ωf(x,Dv(x))dx,v∈u∗+W01,p(Ω,R3).
An estimate concerning the difference between minimizer and boundary value in some polyconvex problems / Colucci, R.; Leonetti, F.; Treu, G.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 215:(2022), p. 112635. [10.1016/j.na.2021.112635]
An estimate concerning the difference between minimizer and boundary value in some polyconvex problems
Colucci R.;Leonetti F.;
2022-01-01
Abstract
This paper is concerned with regularity of minimizers of integral functionals with polyconvex potentials. In particular we obtain bounds on the difference |u−u∗|∞ for minimizers u:Ω⊂R3→R3 of problem min∫Ωf(x,Dv(x))dx,v∈u∗+W01,p(Ω,R3).File in questo prodotto:
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