A shape-derivative approach to some PDE model in image restoration
In this paper we analyze the shape derivative of a cost functional appearing in image restoration.
math.AP↗
arXiv subjects
Carla Baroncini
Publications and source records attributed to Carla Baroncini.
Continuity results with respect to domain perturbation for the fractional $p-$laplacian
In this paper we give sufficient conditions on the approximating domains in order to obtain the continuity of solutions for the fractional $p-$laplacian. These conditions are given in terms of the fractional capacity of the approximating domains.
math.AP↗
An extension of a Theorem of V. Šverák to variable exponent spaces
In 1993, V. Šverák proved that if a sequence of uniformly bounded domains $Ω_n\subset {\mathbb R}^2$ such that $Ω_n\to Ω$ in the sense of the Hausdorff complementary topology, verify that the number of connected components of its complements are bounded, then the solutions of the Dirichlet problem for the Laplacian with source $f\in L^2({\mathbb R}^2)$ converges to the solution of the limit domain with same source. In this paper, we extend Šverák result to variable exponent spaces.
math.AP↗