A polyharmonic analogue of a Lelong theorem and polyhedric harmonicity cells.
A Potential Method for the Biharmonic Equation.
A potential theoretic inequality
In this paper is proved a weighted inequality for Riesz potential similar to the classical one by D. Adams. Here the gain of integrability is not always algebraic, as in the classical case, but depends on the growth properties of a certain function measuring some local potential of the weight.
A Potential-Theoretic Approach to Parallel Addition.
A Probabilistic Proof and Applications of Wiener's Test for the Heat Operator.
A probalistic solution of the Neumann problem.
A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape.
A Proof of the Hardy-Littlewood Theorem on Fractional Integration and a Generalization
A Property of Biharmonic Functions with Dirichlet Finite Laplacians.
A Quadratic Finite Element Method for solving Biharmonic Problems in IRn.
-weighted Caccioppoli-type and Poincaré-type inequalities for -harmonic tensors.
-weighted Caccioppoli-type and Poincaré-type inequalities for -harmonic tensors. Erratum.
A radial Phragmén-Lindelöf estimate for plurisubharmonic functions on algebraic varieties
For complex algebraic varieties V, the strong radial Phragmén-Lindelöf condition (SRPL) is defined. It means that a radial analogue of the classical Phragmén-Lindelöf Theorem holds on V. Here we derive a sufficient condition for V to satisfy (SRPL), which is formulated in terms of local hyperbolicity at infinite points of V. The latter condition as well as the extension of local hyperbolicity to varieties of arbitrary codimension are introduced here for the first time. The proof of the main result...
A Radó type theorem for -harmonic functions in the plane.
A Radon-Nikodym theorem for capacities.
A recurrence condition for some subordinated strongly local Dirichlet forms.
A Regular Metrizable Boundary for Solutions of Elliptic and Parabolic Differential Equations.
A regularity result for polyharmonic variational inequalities with thin obstacles
A remark on gradients of harmonic functions.
In any C1,s domain, there is nonzero harmonic function C1 continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.
A remark on gradients of harmonic functions in dimension ≥3