Some nonexistence results for positive solutions of elliptic equations in unbounded domains.
Some non-linear s. p. d. e's that are second order in time.
Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type
In this work two non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type are considered. Unique solvability of these problems is proven. The uniqueness of the solution is proven by the method of energy integrals and the existence is proven by the method of integral equations.
Some nonstandard finite element estimates with applications to Poisson and Signorini problems.
Some notes to certain modification of the Oseen problem
Some notes to the transport equation and to the Green formula
Some observations on the first eigenvalue of the -Laplacian and its connections with asymmetry.
Some orthogonal decompositions of Sobolev spaces and applications
Two kinds of orthogonal decompositions of the Sobolev space W̊₂¹ and hence also of for bounded domains are given. They originate from a decomposition of W̊₂¹ into the orthogonal sum of the subspace of the -solenoidal functions, k ≥ 1, and its explicitly given orthogonal complement. This decomposition is developed in the real as well as in the complex case. For the solenoidal subspace (k = 0) the decomposition appears in a little different form. In the second kind decomposition the -solenoidal...
Some partial differential equations in Clifford analysis
Using Clifford analysis in a multidimensional space some elliptic, hyperbolic and parabolic systems of partial differential equations are constructed, which are related to the well-known classical equations. To obtain parabolic systems Clifford algebra is modified and some corresponding differential operator is constructed. For systems obtained the boundary and initial value problems are solved.
Some possibly degenerate elliptic problems with measure data and non linearity on the boundary
The goal of this paper is to study some possibly degenerate elliptic equation in a bounded domain with a nonlinear boundary condition involving measure data. We investigate two types of problems: the first one deals with the laplacian in a bounded domain with measure supported on the domain and on the boundary. A second one deals with the same type of data but involves a degenerate weight in the equation. In both cases, the nonlinearity under consideration lies on the boundary. For the first problem,...
Some priori estimates about solutions to nonhomogeneous -harmonic equations.
Some problems concerning the functional differential equations
Some problems for nonlinear pseudoparabolic equations in nontube domains.
Some problems in inverse scattering theory
Some problems in neutron transport theory
Some problems of parabolic type with discontinuous nonlinearities on convex constraints
We study semilinear equations and inequalities of parabolic type with discontinuous nonlinearities, possibly subjected to convex or even nonconvex constraint conditions. To prove some existence theorems we regard the solutions as «curves of maximal relaxed slope» for a suitable functional on the given constraint.
Some problems of vector analysis in solenoidal spaces
Some progress in conformal geometry.
Some properties of a generalized heat potential (Preliminary communication)
Some properties of eigenfunctions of linear pencils and applications to mixed type operator-differential equations
In the first part of the paper we study some properties of eigenelements of linear selfadjoint pencils Lu = λBu. In the second part we apply these results to the investigation of some boundary value problems for mixed type second order operator-differential equations.