-oценки решения задачи Коши для одномерного гиперболического уравнения высокого порядка с постоянными коэффициентами
-regularity of solutions to first initial-boundary value problem for hyperbolic equations in cusp domains.
regularity of velocity averages
L2-Integrability of Second Order Derivatives for Poisson's Equation in Nonsmooth Domains.
Le problème de la dérivée oblique non linéaire
L'equazione . Teorema di esistenza per un generale problema al contorno
Necessary and sufficient conditions are given for the existence of smooth solutions of the differential equations (1) with the boundary conditions (2). Coefficients of (1) and (2) are only supposed Hölder-continuous.
Les théorèmes de Leray et de Fujita-Kato pour le système de Boussinesq partiellement visqueux
Dans cet article, on étudie le système de Boussinesq décrivant le phénomène de convection dans un fluide incompressible et visqueux. Ce système est composé des équations de Navier-Stokes incompressibles avec un terme de force verticale dont l’amplitude est transportée sans dissipationpar le flot du champ de vitesses. On montre que les résultats classiques pour le système de Navier-Stokes standard demeurent vrais pour le système de Boussinesq bien qu’il n’y ait pas d’amortissement sur le terme de...
Levi equation for almost complex structures.
Linear Oblique Derivative Problems for the Uniformly Elliptic Hamilton-Jacobi-Bellman Equation.
Line-energy Ginzburg-Landau models : zero-energy states
We consider a class of two-dimensional Ginzburg-Landau problems which are characterized by energy density concentrations on a one-dimensional set. In this paper, we investigate the states of vanishing energy. We classify these zero-energy states in the whole space: They are either constant or a vortex. A bounded domain can sustain a zero-energy state only if the domain is a disk and the state a vortex. Our proof is based on specific entropies which lead to a kinetic formulation, and on a careful...
Liouville results for -Laplace equations of Lane-Emden-Fowler type
Liouville type condition and the interior regularity of quasilinear parabolic system (the case of BMO-solutions)
Lipschitz regularity for some asymptotically convex problems
We establish a local Lipschitz regularity result for local minimizers of asymptotically convex variational integrals.
Lipschitz regularity for some asymptotically convex problems*
We establish a local Lipschitz regularity result for local minimizers of asymptotically convex variational integrals.
Local analyticity in the time and space variables and the smoothing effect for the fifth-order KdV-type equation.
Local Existence and Regularity for a Class of Degenerate Parabolic Equations.
Local existence, uniqueness and regularity for a class of degenerate parabolic systems arising in biological models
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 regularity and local boundedness results for very weak solutions of obstacle problems.
Local regularity results for minima of anisotropic functionals and solutions of anisotropic equations.