Dirichlet's Principle, Uniqueness of Harmonic Maps and Extremal QC Mappings
Discrete groups and thin sets.
Distribution function inequalities for the density of the area integral
We prove good- inequalities for the area integral, the nontangential maximal function, and the maximal density of the area integral. This answers a question raised by R. F. Gundy. We also prove a Kesten type law of the iterated logarithm for harmonic functions. Our Theorems 1 and 2 are for Lipschitz domains. However, all our results are new even in the case of .
Distribution of primes and a weighted energy problem.
Double layer potential representation of the solution of the Dirichlet problem (Preliminary communication)
Duality in the obstacle and unilateral problem for the biharmonic operator
The paper presents a problem of duality for the obstacle and unilateral biharmonic problem (the equilibrium of a thin plate with an obstacle inside the domain or on the boundary). The dual variational inequality is derived by introducing polar functions.
Eigenvalues of the time-dependent fluid flow problem. I.
Eine Bemerkung zur Regularität stationärer Punkte von konform invarianten Variationsintegralen.
Eine Erweiterung des Maximumsprinzips für den Laplaceschen Operator.
Einige Hilfssätze der ebenen Potentialtheorie
Ellipses and harmonic Möbius transformations.
Entire functions and logarithmic sums over nonsymmetric sets of the real line.
ERRATA: Inequalities associating hypergeometric functions with planar harmonic mappings.
Error estimates for mixed methods
Error estimates for the assumed stresses hybrid methods in the approximation of 4th order elliptic equations
Essential norms of a potential theoretic boundary integral operator in
Let be an open set with a compact boundary and let be a finite measure on . Consider the space of all -integrable functions on and, for each...
Estimates for -Hessian operator and some applications
The -convex functions are the viscosity subsolutions to the fully nonlinear elliptic equations , where is the elementary symmetric function of order , , of the eigenvalues of the Hessian matrix . For example, is the Laplacian and is the real Monge-Ampère operator det , while -convex functions and -convex functions are subharmonic and convex in the classical sense, respectively. In this paper, we establish an approximation theorem for negative -convex functions, and give several...
Estimation of Green's function on piecewise Dini-smooth bounded Jordan domains
We establish inequalities for Green functions on general bounded piecewise Dini-smooth Jordan domains in ℝ². This enables us to prove a new version of the 3G Theorem which generalizes its previous version given in [M. Selmi, Potential Anal. 13 (2000)]. Using these results, we give a comparison theorem for the Green kernel of Δ and the Green kernel of Δ - μ, where μ is a nonnegative and exact Radon measure.
Estimées à poids de l’opérateur de Green sur une variété de Stein
Exactness of the approximation of subharmonic function by the logarithm of the modulus of an analytic function in the Chebyshev metric.