Search Results - "Siepe, Francesco"

Integrability for solutions to some anisotropic elliptic equations by Leonetti, Francesco, Siepe, Francesco

“…We consider the boundary value problem { ∑ i = 1 n D i ( a i ( x , D u ( x ) ) ) = 0 , x ∈ Ω ; u ( x ) = u ∗ ( x ) , x ∈ ∂ Ω . We show that, higher…”
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Global integrability for minimizers of anisotropic functionals by Leonetti, Francesco, Siepe, Francesco

“…We consider integral functionals in which the density has growth p i with respect to ∂ u ∂ x i , like in ∫ Ω ∂ u ∂ x 1 ( x ) p 1 + ∂ u ∂ x 2 ( x ) p 2 + ⋯ + ∂…”
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Some remarks on the higher regularity of minimizers of anisotropic functionals by Siepe, Francesco

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On the Lipschitz Regularity of Minimizers of Anisotropic Functionals by Siepe, Francesco

“…We prove a Lipschitz regularity result for minimizers of functionals of the calculus of variations of the form ∫Ωf(Du(x))dx, where f is a continuous convex…”
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