Some estimates of integrals with a composition operator.
Some examples concerning applicability of the Fredholm-Radon method in potential theory
Simple examples of bounded domains are considered for which the presence of peculiar corners and edges in the boundary causes that the double layer potential operator acting on the space of all continuous functions on can for no value of the parameter be approximated (in the sub-norm) by means of operators of the form (where is the identity operator and is a compact linear operator) with a deviation less then ; on the other hand, such approximability turns out to be possible for...
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 properties of a generalized heat potential (Preliminary communication)
Some properties of functions with bounded mean oscillation
Some properties of positive superharmonic functions
Some properties of potentials of signed measures (Preliminary communication)
Some properties of the reduced modulus in space.
Some remarks on largest subharmonic minorants.
Some remarks on the existence of a resolvent
Noting that a resolvent is associated with a convolution kernel satisfying the domination principle if and only if has the dominated convergence property, we give some remarks on the existence of a resolvent.
Some uniqueness results for Bernoulli interior free-boundary problems in convex domains.
Stability of Lewis and Vogel's result.
State space properties of finite logics
Steady vortex rings with swirl in an ideal fluid: asymptotics for some solutions in exterior domains
In this paper, the axisymmetric flow in an ideal fluid outside the infinite cylinder () where denotes the cylindrical co-ordinates in is considered. The motion is with swirl (i.e. the -component of the velocity of the flow is non constant). The (non-dimensional) equation governing the phenomenon is (Pd) displayed below. It is known from e.g. that for the problem without swirl ( in (f)) in the whole space, as the flux constant tends to , 1) ; ; 2) converges to a vortex cylinder (see...
Strongly nonlinear potential theory on metric spaces.
Su alcune questioni connesse con il problema di derivata obliqua regolare per le funzioni armoniche
— Vengono riconsiderati il problema di derivata obliqua regolare e quello misto di Dirichlet-derivata obliqua regolare per le funzioni armoniche in un dominio di e le questioni di completezza hilbertiana connesse già studiate in un precedente lavoro e viene data una nuova dimostrazione di un teorema di unicità.
Subharmonic functions and their Riesz measure.
Sul problema di Dirichlet in un cono per l’equazione
Superharmonic extension and harmonic approximation
Let be an open set in and be a subset of . We characterize those pairs which permit the extension of superharmonic functions from to , or the approximation of functions on by harmonic functions on .
Superharmonic functions and differential equations involving measures for quasilinear elliptic operators with lower order terms.