3 citations · 4 across the 4 of their papers we have counts for
6 papers
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…
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…
Lavrentiev gap for some classes of generalized Orlicz functions
Anna Kh. Balci, Mikhail Surnachev
In the present paper we find optimal conditions separating the regular case from the one with Lavrentiev gap for the borderline case of double phase potencial and related general c…
Elliptic Equations With Degenerate weights
Anna Kh. Balci, Lars Diening, Raffaella Giova +1
We obtain new local Calderon-Zygmund estimates for elliptic equations with matrix-valued weights for linear as well as non-linear equations. We introduce a novel log-BMO condition…
New Examples on Lavrentiev Gap Using Fractals
Anna Kh. Balci, Lars Diening, Mikhail Surnachev
Zhikov showed 1986 with his famous checkerboard example that functionals with variable exponents can have a Lavrentiev gap. For this example it was crucial that the exponent had a…
Higher Order Calderon-Zygmund Estimates for the p-Laplace Equation
Anna Kh. Balci, Lars Diening, Markus Weimar
The paper is concerned with higher order Calderon-Zygmund estimates for the -Laplace equation $$ -\textrm{div}(A(\nabla u)) := -\textrm{div}{(|\nabla u|^{p-2}\nabla u)}=-\textrm…