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math.NA2021
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap
Anna Kh. Balci, Christoph Ortner, Johannes Storn
We investigate the convergence of the Crouzeix-Raviart finite element method for variational problems with non-autonomous integrands that exhibit non-standard growth conditions. Wh…
math.AP2021★ 1 cited
A pointwise differential inequality and second-order regularity for nonlinear elliptic systems
Anna Kh. Balci, Andrea Cianchi, Lars Diening +1
A sharp pointwise differential inequality for vectorial second-order partial differential operators, with Uhlenbeck structure, is offered. As a consequence, optimal second-order re…