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math.AP2013★ 14 cited
One-dimensional Neel walls under applied external fields
Milena Chermisi, Cyrill B. Muratov
We present a detailed analysis of one-dimensional Néel walls in thin uniaxial ferromagnetic films in the presence of an in-plane applied external field in the direction normal to t…
math.AP2008★ 2 cited
Fibered nonlinearities for -Laplace equations
Milena Chermisi, Enrico Valdinoci
In , endowed with coordinates , we consider the PDE $$ -{\rm div} \big(α(\x) |\nabla u(\X)|^{p(x)-2}\nabla u(\X)\big)=f(x,u(\X)).$$ We prove a geometri…
math.AP2008★ 1 cited
Multiwell rigidity in nonlinear elasticity
Milena Chermisi, Sergio Conti
We derive a quantitative rigidity estimate for a multiwell problem in nonlinear elasticity. Precisely, we show that if a gradient field is L^1-close to a set of the form SO(n)U_1 \…