4 research outputs found

    Power-law approximation under differential constraints

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    We study the Γ\Gamma-convergence of the power-law functionals Fp(V)=(∫Ωfp(x,V(x))dx)1/p, F_p(V)=\Bigl(\int_{\Omega} f^p(x, V(x))dx\Bigr)^{1/p}, as pp tends to +∞+\infty, in the setting of constant-rank operator \A. We show that the Γ\Gamma-limit is given by a supremal functional on L^{\infty}(\Omega;\MM) \cap \hbox {Ker} \A where \MM is the space of d×Nd\times N real matrices. We give an explicit representation formula for the supremand function. We provide some examples and as application of the Γ\Gamma-convergence results we characterize the strength set in the context of electrical resistivity

    Power-law approximation under differential constraints

    No full text
    We study the Γ\Gamma-convergence of the power-law functionals Fp(V)=(∫Ωfp(x,V(x))dx)1/p, F_p(V)=\Bigl(\int_{\Omega} f^p(x, V(x))dx\Bigr)^{1/p}, as pp tends to +∞+\infty, in the setting of constant-rank operator \A. We show that the Γ\Gamma-limit is given by a supremal functional on L^{\infty}(\Omega;\MM) \cap \hbox {Ker} \A where \MM is the space of d×Nd\times N real matrices. We give an explicit representation formula for the supremand function. We provide some examples and as application of the Γ\Gamma-convergence results we characterize the strength set in the context of electrical resistivity

    Power-Law Approximation under Differential Constraints

    No full text
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