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- W2577947140 abstract "We give a regularity result for local minimizers $${u}:{Omega subset{mathbb{R}}^3 to {mathbb{R}}^3}$$ of a special class of polyconvex functionals. Under some structure assumptions on the energy density, we prove that local minimizers u are locally bounded. For each component $${u^{alpha}}$$ of u, we first prove a Caccioppoli’s inequality and then apply De Giorgi’s iteration method to get the boundedness of $${u^{alpha}}$$ . Our result can be applied to the polyconvex integral $$int_Omega left( sumlimits_{alpha = 1}^{3} |D u^alpha|^{p} +|operatorname{adj}_2 Du|^q + |operatorname{det} Du|^{r}right) {rm d}x$$ with suitable $${p,q,r > 1}$$ ." @default.
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- W2577947140 date "2017-01-16" @default.
- W2577947140 modified "2023-10-16" @default.
- W2577947140 title "Local Boundedness for Minimizers of Some Polyconvex Integrals" @default.
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- W2577947140 doi "https://doi.org/10.1007/s00205-017-1074-7" @default.
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