3 citations · 7 across the 9 of their papers we have counts for
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math.AP2023★ 1 cited
Local boundedness of minimizers under unbalanced Orlicz growth conditions
Andrea Cianchi, Mathias Schäffner
Local minimizers of integral functionals of the calculus of variations are analyzed under growth conditions dictated by different lower and upper bounds for the integrand. Growths…
math.AP2023★ 3 cited
On the Lavrentiev gap for convex, vectorial integral functionals
Lukas Koch, Matthias Ruf, Mathias Schäffner
We prove the absence of a Lavrentiev gap for vectorial integral functionals of the form $$ F: g+W_0^{1,1}(Ω)^m\to\mathbb{R}\cup\{+\infty\},\qquad F(u)=\int_ΩW(x,\mathrm{D} u)\,\mat…
math.AP2023
New homogenization results for convex integral functionals and their Euler-Lagrange equations
Matthias Ruf, Mathias Schäffner
We study stochastic homogenization for convex integral functionals $$u\mapsto \int_D W(ω,\tfrac{x}\varepsilon,\nabla u)\,\mathrm{d}x,\quad\mbox{where}\quad u:D\subset \mathbb{R}^d\…