Results 31 to 40 of about 26,844 (257)
Anisotropic singular logistic equations [PDF]
Opuscula MathematicaWe consider a parametric Dirichlet problem driven by the anisotropic \((p,q)\)-Laplacian and a reaction with a singular term and a superdiffusive logistic perturbation.
João Pablo Pinheiro Da Silva +3 more
doaj +1 more source
Efficient Resolution of Anisotropic Structures [PDF]
, 2014 We highlight some recent new delevelopments concerning the sparse representation of possibly high-dimensional functions exhibiting strong anisotropic features and low regularity in isotropic Sobolev or Besov scales. Specifically, we focus on the solution
A. Buffa +34 more
core +2 more sources
Boundary regularity for anisotropic minimal Lipschitz graphs
Communications in Partial Differential Equations, 2023 We prove that $m$-dimensional Lipschitz graphs in any codimension with $C^{1,α}$ boundary and anisotropic mean curvature bounded in $L^p$, $p > m$, are regular at every boundary point with density bounded above by $1/2 +σ$, provided the anisotropic energy satisfies the uniform scalar atomic condition.
De Rosa, Antonio, Resende, Reinaldo
openaire +3 more sources
The BEM with graded meshes for the electric field integral equation on polyhedral surfaces [PDF]
, 2015 We consider the variational formulation of the electric field integral equation on a Lipschitz polyhedral surface $\Gamma$. We study the Galerkin boundary element discretisations based on the lowest-order Raviart-Thomas surface elements on a sequence of ...
Bespalov, Alex, Nicaise, Serge
core +4 more sources
H\"older regularity for Maxwell's equations under minimal assumptions on the coefficients
, 2018 We prove global H\"older regularity for the solutions to the time-harmonic anisotropic Maxwell's equations, under the assumptions of H\"older continuous coefficients. The regularity hypotheses on the coefficients are minimal. The same estimates hold also
Alberti, Giovanni S.
core +1 more source
Local regularity for an anisotropic elliptic equation [PDF]
Calculus of Variations and Partial Differential Equations, 2020 AbstractWe establish the interior Hölder continuity for locally bounded solutions, and the Harnack inequality for non-negative continuous solutions to a class of anisotropic elliptic equations with bounded and measurable coefficients, whose prototype equation is $$\begin{aligned} u_{xx}+\varDelta _{q,y} u=0\quad {\text { locally in }}{\mathbb {R ...
Naian Liao +2 more
openaire +4 more sources
Nonlinear anisotropic parabolic equations in Lm
Arab Journal of Mathematical Sciences, 2014 In this paper, we give a result of regularity of weak solutions for a class of nonlinear anisotropic parabolic equations with lower-order term when the right-hand side is an Lm function, with m being ”small”.
Fares Mokhtari
doaj +1 more source
Convex Regularization of Multi-Channel Images Based on Variants of the TV-Model
, 2017 We discuss existence and regularity results for multi-channel images in the setting of isotropic and anisotropic variants of the TV ...
Fuchs, Martin +3 more
core +1 more source
Regularity Criterion for the Nematic Liquid Crystal Flows in Terms of Velocity
Abstract and Applied Analysis, 2014 We study the regularity criterion for the 3D nematic liquid crystal flows in the framework of anisotropic Lebesgue space. More precisely, we proved some sufficient conditions in terms of velocity or the fractional derivative of velocity in one direction.
Ruiying Wei, Zheng-an Yao, Yin Li
doaj +1 more source
Fuzzy Superpixel Segmentation with Anisotropic Total Variation Regularization
MathematicsThis paper presents a superpixel segmentation algorithm that integrates anisotropic total variation regularization within a fuzzy clustering framework.
Tsz Ching Ng +4 more
doaj +1 more source