4 citations · 4 across the 4 of their papers we have counts for
7 papers
Approximation in norm and energy with bounded functions for autonomous variational problems
Pierre Bousquet, Carlo Mariconda, Giulia Treu
We study the approximation of finite-energy Sobolev functions by bounded Sobolev functions for integral functionals associated with possibly signed Carathéodory integrands. The app…
Beyond Constant Truncations: The Bounded Sobolev Approximation Gap
Pierre Bousquet, Carlo Mariconda, Giulia Treu
We study the approximation of finite-energy Sobolev functions by bounded Sobolev functions for integral functionals associated with possibly signed Carathéodory integrands. The app…
Local Lipschitz continuity for energy integrals under unified general growth of fast and slow type
Michela Eleuteri, Stefania Perrotta, Giulia Treu
We consider a class of anisotropic energy integrals including fast and slow growth under a unified approach, proving that the local minimizers are locally Lipschitz continuous.
Local Lipschitz continuity of the minimizers of nonuniformly convex functionals under the Lower Bounded Slope Condition
Flavia Giannetti, Giulia Treu
We prove the local Lipschitz regularity of the minimizers of functionals of the form \[ \mathcal I(u)=\int_Ωf(\nabla u(x))+g(x)u(x)\,dx\qquad u\inϕ+W^{1,1}_0(Ω) \] where is bou…
Local Lipschitz continuity for energy integrals with slow growth and lower order terms
Michela Eleuteri, Stefania Perrotta, Giulia Treu
We consider integral functionals with slow growth and explicit dependence on u of the lagrangian; this includes many relevant examples, as, for instance, in elastoplastic torsion p…
Lipschitz minimizers for a class of integral functionals under the bounded slope condition
Sebastiano Don, Luca Lussardi, Andrea Pinamonti +1
We consider the functional where is convex and and we study the minimizers in of the as…
BV Minimizers of the area functional in the Heisenberg group under the bounded slope condition
Andrea Pinamonti, Francesco Serra Cassano, Giulia Treu +1
We consider the area functional for t-graphs in the sub-Riemannian Heisenberg group and study minimizers of the associated Dirichlet problem. We prove that, under a bounded slope c…