Local existence and stability for a hyperbolic-elliptic system modeling two-phase reservoir flow.
Local Lipschitz continuity of solutions of non-linear elliptic differential-functional equations
The object of this paper is to prove existence and regularity results for non-linear elliptic differential-functional equations of the form over the functions that assume given boundary values ϕ on ∂Ω. The vector field satisfies an ellipticity condition and for a fixed x, F[u](x) denotes a non-linear functional of u. In considering the same problem, Hartman and Stampacchia [Acta Math.115 (1966) 271–310] have obtained existence results in the space of uniformly Lipschitz continuous functions...
Local refinement techniques for elliptic problems on cell-centered grids. III. Algebraic multilevel BEPS preconditioners.
Localization effects for eigenfunctions near to the edge of a thin domain
Logistic equation with the -Laplacian and constant yield harvesting.
Lösung der Dirichletproblems und Konvergenz der Differenzenapproximation für elliptische Differentialgleichungen zweiter Ordnung.
Lower and upper bounds for the Rayleigh conductivity of a perforated plate
Lower and upper bounds for the Rayleigh conductivity of a perforation in a thick plate are usually derived from intuitive approximations and by physical reasoning. This paper addresses a mathematical justification of these approaches. As a byproduct of the rigorous handling of these issues, some improvements to previous bounds for axisymmetric holes are given as well as new estimates for tilted perforations. The main techniques are a proper use of the Dirichlet and Kelvin variational principlesin...
Lp regularity of the Dirichlet problem for elliptic equations with singular drift.
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint
This paper is devoted to an analysis of vortex-nucleation for a Ginzburg-Landau functional with discontinuous constraint. This functional has been proposed as a model for vortex-pinning, and usually accounts for the energy resulting from the interface of two superconductors. The critical applied magnetic field for vortex nucleation is estimated in the London singular limit, and as a by-product, results concerning vortex-pinning and boundary conditions on the interface are obtained.
Majorations a priori et problèmes frontière elliptiques du second ordre
Marchuk identity-type second order difference schemes of 2-d and 3-d elliptic problems with intersected interfaces
Maximal regular boundary value problems in Banach-valued function spaces and applications.
Maximum norm error estimates in the finite element method with isoparametric quadratic elements and numerical integration
Maximum principle for elliptic operators and applications
Maximum principles and the method of moving planes for a class of degenerate elliptic linear operators
We deal with maximum principles for a class of linear, degenerate elliptic differential operators of the second order. In particular the Weak and Strong Maximum Principles are shown to hold for this class of operators in bounded domains, as well as a Hopf type lemma, under suitable hypothesis on the degeneracy set of the operator. We derive, as consequences of these principles, some generalized maximum principles and an a priori estimate on the solutions of the Dirichlet problem for the linear equation....
Maximum Principles for Linear, Non-Unifomly Elliptic Operators with Measurable Coefficients.
Maximum principles for some quasilinear second order partial differential equations
Mean curvature and least energy solutions for the critical Neumann problem with weight
In this paper we consider the Neumann problem involving a critical Sobolev exponent. We investigate a combined effect of the coefficient of the critical Sobolev nonlinearity and the mean curvature on the existence and nonexistence of solutions.
Meillieurs estimations asymptotiques des restes de la fonctionn spectrale et des valeurs propres relatifs au laplacien.
Méthode d’éléments finis pour la résolution numérique de problèmes extérieurs en dimension