37 citations · 178 across the 19 of their papers we have counts for
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math.AP2014
Symmetrization with respect to the anisotropic perimeter and applications
Francesco Della Pietra, Nunzia Gavitone
In this paper we introduce a new type of symmetrization, which preserves the anisotropic perimeter of the level sets of a suitable concave smooth function, in order to prove sharp…
math.AP2014
Some remarks on a shape optimization problem
Francesco Della Pietra
Given bounded open set of and , let us consider \[ μ(Ω,α)=\min_{\substack{v\in W_{0}^{1,2}(Ω)\\v\not\equiv 0}} \frac{\displaystyle\int_Ω |\nabla…
math.AP2014
Sharp estimates and existence for anisotropic elliptic problems with general growth in the gradient
Francesco Della Pietra, Nunzia Gavitone
In this paper, we prove sharp estimates and existence results for anisotropic nonlinear elliptic problems with lower order terms depending on the gradient. Our prototype is: $ \lef…