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

Leonetti F.;
2022

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).
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/185016
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