Search Results - "Perugini, Matteo"

Perimeter inequality under circular and Steiner symmetrisation: Geometric characterisation of extremals by Perugini, Matteo

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A quantitative version of the Gidas-Ni-Nirenberg Theorem by Ciraolo, Giulio, Cozzi, Matteo, Perugini, Matteo, Pollastro, Luigi

“…A celebrated result by Gidas, Ni & Nirenberg asserts that classical positive solutions to semilinear equations −Δu=f(u) in a ball vanishing at the boundary…”
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Lower semicontinuity for functionals defined on piecewise rigid functions and on GSBD by Friedrich, Manuel, Perugini, Matteo, Solombrino, Francesco

“…In this work, we provide a characterization result for lower semicontinuity of surface energies defined on piecewise rigid functions, i.e., functions which are…”
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Perimeter inequality under circular and Steiner symmetrisation: geometric characterisation of extremals by Perugini, Matteo

“…We study the perimeter inequality under circular symmetrisation, and we provide a full geometric characterisation of equality cases. A careful inspection of…”
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Rigidity of Steiner's inequality for the anisotropic perimeter by Perugini, Matteo

“…The aim of this work is to study the rigidity problem for Steiner's inequality for the anisotropic perimeter, that is, the situation in which the only…”
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A quantitative version of the Gidas-Ni-Nirenberg Theorem by Ciraolo, Giulio, Cozzi, Matteo, Perugini, Matteo, Pollastro, Luigi

“…A celebrated result by Gidas, Ni & Nirenberg asserts that classical positive solutions to semilinear equations $- \Delta u = f(u)$ in a ball vanishing at the…”
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Gamma$-convergence for free-discontinuity problems in linear elasticity: Homogenization and relaxation by Friedrich, Manuel, Perugini, Matteo, Solombrino, Francesco

“…We analyze the $\Gamma$-convergence of sequences of free-discontinuity functionals arising in the modeling of linear elastic solids with surface…”
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Lower semicontinuity for functionals defined on piecewise rigid functions and on $GSBD by Friedrich, Manuel, Perugini, Matteo, Solombrino, Francesco

“…In this work, we provide a characterization result for lower semicontinuity of surface energies defined on piecewise rigid functions, i.e., functions which are…”
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Rigidity for perimeter inequality under spherical symmetrisation by Cagnetti, Filippo, Perugini, Matteo, Stöger, Dominik

“…Necessary and sufficient conditions for rigidity of the perimeter inequality under spherical symmetrisation are given. That is, a characterisation for the…”
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