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We study a class of mean curvature equations −Mu = H +λup where M denotes the mean curvature operator and for p ≥ 1. We show that there exists an extremal parameter λ∗ such that this equat...
We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical (α < 1/2) dissipation (−∆)α: If a Leray-Hopf weak solution is H¨older continuous θ...
Recently, Auscher and Axelsson gave a new approach to non-smooth boundary value problems with $L^{2}$ data, that relies on some appropriate weighted maximal regularity estimates. As part of the develo...
We study a system of nonlinear partial di&reg;erential equations resulting from the traditional modelling of oil engineering within the frame- work of the mechanics of a continuous medium. Existence...
We study a system of nonlinear partial di&reg;erential equations resulting from the traditional modelling of oil engineering within the frame- work of the mechanics of a continuous medium. Existence...
Regularity for Vector Valued Minimizers of Some Anisotropic Integral Functionals.
Regularity Properties of Some Stokes Operators on an Infinite Strip.
In the present paper, the existence of global attractor for dissipative Hamiltonian amplitude equation governing the modulated wave instabilities in E0 is considered. By a decomposition of solution op...
In this paper we consider the rˆole that numerical computations – in particular Galerkin approximations – can play in problems modelled by the 3d Navier-Stokes equations, for which no rigorous pr...
We investigate a Smoluchowski equation (a nonlinear FokkerPlanck equation on the unit sphere), which arises in modeling of colloidal suspensions. We prove the dissipativity of the equation in 2D and 3...

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