6 citations · 19 across the 18 of their papers we have counts for
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Singular orthotropic functionals with nonstandard growth conditions
Pierre Bousquet, Lorenzo Brasco, Chiara Leone
We pursue the study of a model convex functional with orthotropic structure and nonstandard growth conditions, this time focusing on the sub-quadratic case. We prove that bounded l…
On the sharp Hardy inequality in Sobolev-Slobodecki\uı spaces
Francesca Bianchi, Lorenzo Brasco, Anna Chiara Zagati
We study the sharp constant in the Hardy inequality for fractional Sobolev spaces defined on open subsets of the Euclidean space. We first list some properties of such a constant,…
A note on the supersolution method for Hardy's inequality
Francesca Bianchi, Lorenzo Brasco, Firoj Sk +1
We prove a characterization of Hardy's inequality in Sobolev-Slobodecki\uı spaces in terms of positive local weak supersolutions of the relevant Euler-Lagrange equation. This exten…
A Steklov version of the Torsional Rigidity
Lorenzo Brasco, María del Mar González, Mikel Ispizua
Motivated by the connection between the first eigenvalue of the Dirichlet-Laplacian and the torsional rigidity, the aim of this paper is to find a physically coherent and mathemati…
Uniqueness of extremals for some sharp Poincaré-Sobolev constants
Lorenzo Brasco, Erik Lindgren
We study the sharp constant for the embedding of into , in the case . We prove that for smooth connected sets, when and is sufficiently clos…