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math.AP2017★ 8 cited
Symmetry in the composite plate problem
Francesca Colasuonno, Eugenio Vecchi
In this paper we deal with the composite plate problem, namely the following optimization eigenvalue problem $$ \inf_{ρ\in \mathrm{P}} \inf_{u \in \mathcal{W}\setminus\{0\}} \frac{…
math.AP2017
New characterizations of magnetic Sobolev spaces
Hoai-Minh Nguyen, Andrea Pinamonti, Marco Squassina +1
We establish two new characterizations of magnetic Sobolev spaces for Lipschitz magnetic fields in terms of nonlocal functionals. The first one is related to the BBM formula, due t…