The Dependence of Critical Parameter Bounds on the Monotonicity of a Newton Sequence.
The Dirchlet Problem for a Complex Monge-Ampère Equation.
The Dirichlet boundary value problem for certain Schrödinger equations with magnetic vector potentials
The probabilistic approach to the Dirichlet boundary value problem for certain Schrödinger equations with magnetic vector potentials is examined
The Dirichlet problem and weighted spaces. I.
The Dirichlet problem and weighted spaces. II.
The Dirichlet problem for a singular elliptic equation
We study the solvability of the Dirichlet problem for a linear elliptic operator of the second order in which the coefficients of the first order derivatives become infinite on a portion of the boundary. The study makes use of Schauder’s estimates and suitably constructed barriers.
The Dirichlet problem for elliptic equations in the plane
In this paper an existence and uniqueness theorem for the Dirichlet problem in for second order linear elliptic equations in the plane is proved. The leading coefficients are assumed here to be of class VMO.
The Dirichlet problem for elliptic equations with drift terms.
We establish absolute continuity of the elliptic measure associated to certain second order elliptic equations in either divergence or nondivergence form, with drift terms, under minimal smoothness assumptions on the coefficients.
The Dirichlet problem for harmonic functions with boundary values from Zygmund classes.
The Dirichlet problem for harmonic maps from the disk into the euclidean n-sphere
The Dirichlet Problem for Sublaplacians on Nilpotent Gruops - Geometric Criteria For Regularity.
The Dirichlet problem for the biharmonic equation in a Lipschitz domain
The Dirichlet problem for the degenerate Monge-Ampère equation.
Let Ω be a bounded convex domain in Rn with smooth, strictly convex boundary ∂Ω, i.e. the principal curvatures of ∂Ω are all positive. We study the problem of finding a convex function u in Ω such that:det (uij) = 0 in Ωu = φ given on ∂Ω.
The Dirichlet problem for the equation of prescribed mean curvature
The Dirichlet problem for the minimal surface equation with Lipschitz continuous boundary data.
The Dirichlet problem for the Monge-Ampère equation in convex (but not strictly convex) domains.
The Dirichlet problem in half-space for elliptic equations with unbounded coefficients
The Dirichlet problem in the dispersion of gas exhalations over a wet hilly surface
The Dirichlet problem in weighted spaces on a dihedral domain
We examine the Dirichlet problem for the Poisson equation and the heat equation in weighted spaces of Kondrat'ev's type on a dihedral domain. The weight is a power of the distance from a distinguished axis and it depends on the order of the derivative. We also prove a priori estimates.
The Dirichlet Problem with a Volume Constraint.