3 citations · 8 across the 14 of their papers we have counts for
17 papers
Variable Exponent Regularity via Muckenhoupt Condition
Daviti Adamadze, Anna Kh. Balci, Lars Diening
For the first time, we establish higher integrability of the gradient and local estimates of weak solutions to the -Laplacian without assuming -Hölder contin…
Gradient estimates for -harmonic differential forms
Anna Balci, Swarnendu Sil, Mikhail Surnachev
In this paper, we establish gradient bounds for -harmonic differential forms subject to a Coulomb-type gauge condition. For variable exponents satisfying the log-Hölder c…
Nonlocal Meyers' Example
Anna Kh. Balci, Lars Diening, Moritz Kassmann +1
We present nonlocal variants of the famous Meyers' example of limited higher integrability and differentiability. In the limit we recover the standard Meyers' exampl…
Examples of -harmonic maps
Anna Balci, Linus Behn, Lars Diening +1
We construct explicit examples of -harmonic maps . These are more irregular than the previously known examples and thus provide new upper bounds…
Zaremba problem with degenerate weights
Anna Kh. Balci, Ho-Sik Lee
We establish Zaremba problem for Laplacian and -Laplacian with degenerate weights when the Dirichlet condition is only imposed in a set of positive weighted capacity. We prove w…
Scalar minimizers with maximal singular sets and lack of Meyers property
Anna Balci, Lars Diening, Mikhail Surnachev
We present a general procedure to construct examples of convex scalar variational problems which admit a minimizers with large singular sets. The dimension of the set of singularit…
The Lavrentiev phenomenon in calculus of variations with differential forms
Anna Kh. Balci, Mikhail Surnachev
In this article we study convex non-autonomous variational problems with differential forms and corresponding function spaces. We introduce a general framework for constructing cou…
Error analysis for a Crouzeix-Raviart approximation of the variable exponent Dirichlet problem
Anna Kh. Balci, Alex Kaltenbach
In the present paper, we examine a Crouzeix-Raviart approximation of the -Dirichlet problem. We derive a error estimate, , a best-approxi…
Relaxed Kacanov scheme for the p-Laplacian with large p
Anna Kh. Balci, Lars Diening, Johannes Storn
We introduce a globally convergent relaxed Kacanov scheme for the computation of the discrete minimizer to the -Laplace problem with . The iterative scheme is…
Global Maximal Regularity for Equations with Degenerate Weights
Anna Kh. Balci, Sun-Sig Byun, Lars Diening +1
In this paper we are concerned with global maximal regularity estimates for elliptic equations with degenerate weights. We consider both the linear case and the non-linear case. We…
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…
The Market Price of Risk for Delivery Periods: Pricing Swaps and Options in Electricity Markets
Annika Kemper, Maren D. Schmeck, Anna Kh. Balci
In electricity markets, futures contracts typically function as a swap since they deliver the underlying over a period of time. In this paper, we introduce a market price for the d…
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…