Search Results - "Cagnetti, Filippo"

Necessary and sufficient conditions for rigidity of Pólya–Szegö inequality under Schwarz symmetrisation by Cagnetti, Filippo

“…Pólya–Szegö inequality states that integral functionals, whose integrand is a convex function of the gradient, do not increase under Schwarz symmetrisation. In…”
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Korn and Poincaré-Korn inequalities for functions with a small jump set by Cagnetti, Filippo, Chambolle, Antonin, Scardia, Lucia

“…In this paper we prove a regularity and rigidity result for displacements in G S B D p , for every p > 1 and any dimension n ≥ 2 . We show that a displacement…”
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Stochastic Homogenisation of Free-Discontinuity Problems by Cagnetti, Filippo, Dal Maso, Gianni, Scardia, Lucia, Zeppieri, Caterina Ida

“…In this paper we study the stochastic homogenisation of free-discontinuity functionals . Assuming stationarity for the random volume and surface integrands, we…”
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A global method for deterministic and stochastic homogenisation in BV by Cagnetti, Filippo, Dal Maso, Gianni, Scardia, Lucia, Zeppieri, Caterina Ida

“…In this paper we study the deterministic and stochastic homogenisation of free-discontinuity functionals under linear growth and coercivity conditions. The…”
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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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A global method for deterministic and stochastic homogenisation in $BV by Cagnetti, Filippo, Maso, Gianni Dal, Scardia, Lucia, Zeppieri, Caterina Ida

“…In this paper we study the deterministic and stochastic homogenisation of free-discontinuity functionals under \emph{linear} growth and coercivity conditions…”
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Optimal regularity and structure of the free boundary for minimizers in cohesive zone models by Caffarelli, Luis, Cagnetti, Filippo, Figalli, Alessio

“…We study optimal regularity and free boundary for minimizers of an energy functional arising in cohesive zone models for fracture mechanics. Under smoothness…”
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Gamma$-Convergence of Free-discontinuity Problems by Cagnetti, Filippo, Maso, Gianni Dal, Scardia, Lucia, Zeppieri, Caterina Ida

“…We study the $\Gamma$-convergence of sequences of free-discontinuity functionals depending on vector-valued functions $u$ which can be discontinuous across…”
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Stochastic Homogenisation of Free-Discontinuity Problems by Cagnetti, Filippo, Maso, Gianni Dal, Scardia, Lucia, Zeppieri, Caterina Ida

“…In this paper we study the stochastic homogenisation of free-discontinuity functionals. Assuming stationarity for the random volume and surface integrands, we…”
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Linearly constrained evolutions of critical points and an application to cohesive fractures by Artina, Marco, Cagnetti, Filippo, Fornasier, Massimo, Solombrino, Francesco

“…We introduce a novel constructive approach to define time evolution of critical points of an energy functional. Our procedure, which is different from other…”
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Aubry-Mather measures in the non convex setting by Cagnetti, Filippo, Gomes, Diogo, Tran, Hung

“…SIAM J. Math. Anal. 43, pp. 2601-2629, 2011 The adjoint method introduced in [Eva] and [Tra] is used, to construct analogs to the Aubry-Mather measures for non…”
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Rigidity of equality cases in Steiner's perimeter inequality by Cagnetti, Filippo, Colombo, Maria, De Philippis, Guido, Maggi, Francesco

“…Anal. PDE 7 (2014) 1535-1593 Characterization results for equality cases and for rigidity of equality cases in Steiner's perimeter inequality are presented…”
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Convergence of a Numerical Scheme for the Hamilton-Jacobi Equation: a New Approach with the Adjoint Method by Cagnetti, Filippo, Gomes, Diogo, Tran, Hung V

“…We consider a numerical scheme for the one dimensional time dependent Hamilton-Jacobi equation in the periodic setting. We present a new and simple proof of…”
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Essential connectedness and the rigidity problem for Gaussian symmetrization by Cagnetti, Filippo, Colombo, Maria, De Philippis, Guido, Maggi, Francesco

“…We provide a geometric characterization of rigidity of equality cases in Ehrhard's symmetrization inequality for Gaussian perimeter. This condition is…”
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Adjoint methods for obstacle problems and weakly coupled systems of PDE by Cagnetti, Filippo, Gomes, Diogo, Tran, Hung

“…The adjoint method, recently introduced by Evans, is used to study obstacle problems, weakly coupled systems, cell problems for weakly coupled systems of…”
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A new method for large time behavior of degenerate viscous Hamilton--Jacobi equations with convex Hamiltonians by Cagnetti, Filippo, Gomes, Diogo, Mitake, Hiroyoshi, Tran, Hung

“…We introduce a new machinery to study the large time behavior for general classes of Hamilton--Jacobi type equations, which include degenerate parabolic…”
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A second order minimality condition for the Mumford-Shah functional by Cagnetti, Filippo, Mora, Maria Giovanna, Morini, Massimiliano

“…A new necessary minimality condition for the Mumford-Shah functional is derived by means of second order variations. It is expressed in terms of a sign…”
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