A note on a heat potential and the parabolic variation
A Note on ?-Equilibrium Measures for Rational Maps.
A note on the local structure of levels of a plane vector field
A note on the parabolic variation
A condition for solvability of an integral equation which is connected with the first boundary value problem for the heat equation is investigated. It is shown that if this condition is fulfilled then the boundary considered is -Holder. Further, some simple concrete examples are examined.
A Note on Tolstov's Theorem on Harmonic Functions in the Plane.
A numerical solution of the Dirichlet problem on some special doubly connected regions
The aim of this paper is to give a convergence proof of a numerical method for the Dirichlet problem on doubly connected plane regions using the method of reflection across the exterior boundary curve (which is analytic) combined with integral equations extended over the interior boundary curve (which may be irregular with infinitely many angular points).
A Nyström method for boundary integral equations in domains with corners.
A Poisson formula for harmonic projections
A polyharmonic analogue of a Lelong theorem and polyhedric harmonicity cells.
A Potential Method for the Biharmonic Equation.
A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape.
A remark on polygonal quasiconformal maps.
A remark on uniqueness of best rational approximants of degree 1 in of the circle.
A representation formula for radially weighted biharmonic functions in the unit disc.
A Riesz representation formula for super-biharmonic functions.
A Sharp Inequality for Subharmonic Functions on Two-Dimensional Manifolds.
A sub-regularity inequality for conjugate systems on local fields
A symmetrization inequality for plurisubharmonic functions.
A symmetry problem
Consider the Newtonian potential of a homogeneous bounded body D ⊂ ℝ³ with known constant density and connected complement. If this potential equals c/|x| in a neighborhood of infinity, where c>0 is a constant, then the body is a ball. This known result is now proved by a different simple method. The method can be applied to other problems.
A Unified Theory of Harmonic Measures and Capacitary Potentials.