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math.OC2026
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…
math.OC2026
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…