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Gradient estimates for viscosity solutions of singular fully nonlinear elliptic equations
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2010)
On approximation properties in Lipschitz-free spaces over groups
(Wiley, 2022-04-05)
We study Lipschitz-free spaces over compact and uniformly discrete metric spaces enjoying certain high regularity properties - having group structure with left-invariant metric. Using methods of harmonic analysis we show ...
Parabolic Besov Regularity for the Heat Equation
(Springer, 2012-08)
We obtain parabolic Besov smoothness improvement for temperatures on cylindrical regions based on Lipschitz domains. The results extend those for harmonic functions obtained by S. Dahlke and R. DeVore using the wavelet ...
On perturbed sweeping process
(Taylor and Francis, 2016)
This paper is devoted to the study of a perturbed differential inclusion governed by a sweeping
process in a Hilbert space. The sweeping process is perturbed by a sum of a single-valued map
satisfying a Lipschitz condition ...
On Besov regularity of temperatures
(Birkhauser Boston Inc, 2010-12)
We prove space-time parabolic Besov regularity in terms of integrability of Besov norms in the space variable for solutions of the heat equation on cylindrical regions based on Lipschitz domains.
Décomposition d’Images Fondée sur l’Analyse de la Régularité Locale: Application au Codage Hybride d’Image
(2016-07-01)
La représentation hybride d'image utilise conjointement la décomposition en ondelettes pour l'information structurée et la modélisation paramétrique pour les textures. Dans ce cadre, nous proposons un algorithme qui décompose ...
Haarlet analysis of Lipschitz regularity in metric measure spaces
(Springer, 2012)
Cavity type problems ruled by infinity Laplacian operator
(Academic Press Inc Elsevier Science, 2017-02)
We study a singularly perturbed problem related to infinity Laplacian operator with prescribed boundary values in a region. We prove that solutions are locally (uniformly) Lipschitz continuous, they grow as a linear function, ...
Techniques of variational analysis: probability functions and estimators of non-convexity
(Universidad de Chile, 2022)
This thesis aims to apply techniques of variational analysis to two different subjects: the first one being probability functions and the second one, a particular nonconvexity measure called effective standard deviation.
We ...
Remarks on lipschitz solutions to measurable differential inclusions and an existence result for some nonconvex variational problems
(HELDERMANN VERLAG, 2008)
In this paper we examine the problem of finding a Lipschitz function on an open domain with prescribed boundary values and whose gradient is required to satisfy some nonhomogeneous pointwise constraints a.e. in the domain. ...