Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Balci, Anna"'
Autor:
Balci, Anna Kh., Lee, Ho-Sik
We establish Zaremba problem for Laplacian and $p$-Laplacian with degenerate weights when the Dirichlet condition is only imposed in a set of positive weighted capacity. We prove weighted Sobolev-Poincar\'{e} inequality with sharp scaling-invariant c
Externí odkaz:
http://arxiv.org/abs/2403.19813
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 singularities is maximal and the minimizer has no higher integrability property
Externí odkaz:
http://arxiv.org/abs/2312.15772
We consider the numerical approximation of variational problems with orthotropic growth, that is those where the integrand depends strongly on the coordinate directions with possibly different growth in each direction. Under realistic regularity assu
Externí odkaz:
http://arxiv.org/abs/2312.15539
Autor:
Balci, Anna
We present a general framework for constructing examples on Lavrentiev energy gap for nonlocal problems and apply it to several nonlocal and mixed models of double-phase type.
Externí odkaz:
http://arxiv.org/abs/2312.05604
Autor:
Balci, Anna Kh., Surnachev, Mikhail
In this article we study convex non-autonomous variational problems with differential forms and corresponding function spaces. We introduce a general framework for constructing counterexamples to the Lavrentiev gap, which we apply to several models,
Externí odkaz:
http://arxiv.org/abs/2305.04726
Autor:
Balci, Anna Kh., Kaltenbach, Alex
In the present paper, we examine a Crouzeix-Raviart approximation of the $p(\cdot)$-Dirichlet problem. We derive a $\textit{medius}$ error estimate, $\textit{i.e.}$, a best-approximation result, which holds for uniformly continuous exponents and impl
Externí odkaz:
http://arxiv.org/abs/2303.10687
We introduce a globally convergent relaxed Kacanov scheme for the computation of the discrete minimizer to the $p$-Laplace problem with $2 \leq p < \infty$. The iterative scheme is easy to implement since each iterate results only from the solve of a
Externí odkaz:
http://arxiv.org/abs/2210.06402
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 show that higher integrability of the gradients can be obtained by im
Externí odkaz:
http://arxiv.org/abs/2201.03524
We investigate the convergence of the Crouzeix-Raviart finite element method for variational problems with non-autonomous integrands that exhibit non-standard growth conditions. While conforming schemes fail due to the Lavrentiev gap phenomenon, we p
Externí odkaz:
http://arxiv.org/abs/2106.06837
A sharp pointwise differential inequality for vectorial second-order partial differential operators, with Uhlenbeck structure, is offered. As a consequence, optimal second-order regularity properties of solutions to nonlinear elliptic systems in doma
Externí odkaz:
http://arxiv.org/abs/2102.09423