On harmonic functions constructed by the Hadamard product.
On harmonic functions defined by derivative operator.
On harmonic majorization of the Martin function at infinity in a cone
This paper shows that some characterizations of the harmonic majorization of the Martin function for domains having smooth boundaries also hold for cones.
On integrals of harmonic functions over annuli.
On Kelvin type transformation for Weinstein operator
The note develops results from [5] where an invariance under the Möbius transform mapping the upper halfplane onto itself of the Weinstein operator on is proved. In this note there is shown that in the cases , no other transforms of this kind exist and for case , all such transforms are described.
On -solutions of the Laplace equation and zeros of holomorphic functions
On Lebesgue points of functions in the Sobolev class .
On Liouville type theorems for second order elliptic differential equations
On Lipschitz continuity of harmonic quasiregular maps on the unit ball in .
On log-subharmonicity of singular values of matrices
Let F be an analytic function from an open subset Ω of the complex plane into the algebra of n×n matrices. Denoting by the decreasing sequence of singular values of a matrix, we prove that the functions and are subharmonic on Ω for 1 ≤ k ≤ n.
On mean periodic functions on complex hyperbolic spaces.
On mean value properties involving a logarithm-type weight
Two new assertions characterizing analytically disks in the Euclidean plane are proved. Weighted mean value property of positive solutions to the Helmholtz and modified Helmholtz equations are used for this purpose; the weight has a logarithmic singularity. The obtained results are compared with those without weight that were found earlier.
On means of subharmonic functions
On meromorphic harmonic functions with respect to -symmetric points.
On molecules and fractional integrals on spaces of homogeneous type with finite measure
In this paper we prove the continuity of fractional integrals acting on nonhomogeneous function spaces defined on spaces of homogeneous type with finite measure. A definition of the molecules which are used in the theory is given. Results are proved for , , BMO, and Lipschitz spaces.
On nonhomogeneous -harmonic equations and 1-harmonic equations.
On numerical solution of a variational inequality of the 4th order by finite element method
The problem of a thin elastic plate, deflection of which is limited below by a rigid obstacle is solved. Using Ahlin's and Ari-Adini's elements on rectangles, the convergence is established and SOR method with constraints is proposed for numerical solution.
On ordinary differentiability of Bessel potentials
On parameter differentiation for integral representations of associated Legendre functions.
On pluriharmonic interpolation.