Results 11 to 20 of about 26,844 (257)
Application of the Stampacchia lemma to anisotropic degenerate elliptic equations
Journal of Innovative Applied Mathematics and Computational Sciences, 2023 In this paper, we prove the existence and regularity of solutions for a class of nonlinear anisotropic degenerate elliptic equations with the data f belonging to certain Marcinkiewicz spaces Mm(Ω) with m > 1.
Hichem
doaj +1 more source
On the striated regularity for the 2D anisotropic Boussinesq system [PDF]
, 2019 In this paper, we investigate the global existence and uniqueness of strong solutions to 2D Boussinesq system with anisotropic thermal diffusion or anisotropic viscosity and with striated initial data.
Paicu, Marius, Zhu, Ning
core +2 more sources
Multi-Anisotropic Gevrey Regularity of Hypoelliptic Operators [PDF]
, 2008 This is the preprint version of our paper in the journal Operator Theory : Advances and Applications, Vol.
Bouzar, Chikh, Dali, Ahmed
openaire +2 more sources
Generalized compact star models with conformal symmetry
European Physical Journal C: Particles and Fields, 2021 We generate a new generalized regular charged anisotropic exact model that admits conformal symmetry in static spherically symmetric spacetime. Our model was examined for physical acceptability as realistic stellar models. The regularity is not violated,
J. W. Jape +3 more
doaj +1 more source
Elliptic regularity theory applied to time harmonic anisotropic Maxwell's equations with less than Lipschitz complex coefficients [PDF]
, 2014 The focus of this paper is the study of the regularity properties of the time harmonic Maxwell's equations with anisotropic complex coefficients, in a bounded domain with $C^{1,1}$ boundary. We assume that at least one of the material parameters is $W^{1,
Alberti, Giovanni S., Capdeboscq, Yves
core +3 more sources
Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations [PDF]
, 2015 We consider the incompressible Euler equations on ${\mathbb R}^d$, where $d \in \{ 2,3 \}$. We prove that: (a) In Lagrangian coordinates the equations are locally well-posed in spaces with fixed real-analyticity radius (more generally, a fixed Gevrey ...
Constantin, Peter +2 more
core +2 more sources
Anisotropic Besov regularity of parabolic PDEs
, 2021 This paper is concerned with the regularity of solutions to parabolic evolution equations. Special attention is paid to the smoothness in the specific anisotropic scale $\ B^{r\mathbf{a}}_{ , }, \ \frac{1} =\frac{r}{d}+\frac{1}{p}\ $ of Besov spaces where $\mathbf{a}$ measures the anisotropy.
Dahlke, Stephan, Schneider, Cornelia
openaire +2 more sources
Multiple positive solutions for singular anisotropic Dirichlet problems
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider a nonlinear Dirichlet problem driven by the variable exponent (anisotropic) $p$-Laplacian and a reaction that has the competing effects of a singular term and of a superlinear perturbation. There is no parameter in the equation (nonparametric
Zhenhai Liu, Nikolaos Papageorgiou
doaj +1 more source
Analytic Regularity for Linear Elliptic Systems in Polygons and Polyhedra [PDF]
, 2011 We prove weighted anisotropic analytic estimates for solutions of second order elliptic boundary value problems in polyhedra. The weighted analytic classes which we use are the same as those introduced by Guo in 1993 in view of establishing exponential ...
Costabel, Martin +2 more
core +4 more sources
Известия Алтайского государственного университета, 2018 In this paper, anisotropic Sobolev — Slobodetskii spaces in poly-cylindrical domains of any dimension N are considered. In the first part of the paper we revisit the well-known Lions — Magenes Trace Theorem (1961) and, naturally, extend regularity ...
С.А. Саженков +1 more
doaj +1 more source