Some remarks on largest subharmonic minorants.
Some Remarks on Strict Potentials.
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 results on thin sets in a half plane
When one is restricted to a Stolz domain in a half plane we prove that internal thinness of a set at the origin structly implies minimal thinness there. Furthermore this result extends to the half plane itself. We also work out some relations among the concepts of minimal thinness, semi-thinness and finite logarithmic length. Finally we show that a theorem of Ahlfors and Heins can be improved.
Some simple proofs in holomorphic spectral theory
This paper gives some very elementary proofs of results of Aupetit, Ransford and others on the variation of the spectral radius of a holomorphic family of elements in a Banach algebra. There is also some brief discussion of a notorious unsolved problem in automatic continuity theory.
Some uniqueness results for Bernoulli interior free-boundary problems in convex domains.
Some uses of subharmonicity in functional analysis
Spectrum stability of an elliptic operator to domain perturbations.
Stabilité des propriétés de convergence par perturbation des espaces harmoniques.
Stability and Continuity of Functions of Least Gradient
In this note we prove that on metric measure spaces, functions of least gradient, as well as local minimizers of the area functional (after modification on a set of measure zero) are continuous everywhere outside their jump sets. As a tool, we develop some stability properties of sequences of least gradient functions. We also apply these tools to prove a maximum principle for functions of least gradient that arise as solutions to a Dirichlet problem.
Stability of Lewis and Vogel's result.
Stability results for Harnack inequalities
We develop new techniques for proving uniform elliptic and parabolic Harnack inequalities on weighted Riemannian manifolds. In particular, we prove the stability of the Harnack inequalities under certain non-uniform changes of the weight. We also prove necessary and sufficient conditions for the Harnack inequalities to hold on complete non-compact manifolds having non-negative Ricci curvature outside a compact set and a finite first Betti number or just having asymptotically...
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...
Strict fine maxima.
Strict Potentials and Hunt Processes.
Strong -weights and scaling invariant Besov capacities.
Strong uniqueness for certain infinite dimensional Dirichlet operators and applications to stochastic quantization
Strongly nonlinear potential theory on metric spaces.
Structure des cônes de potentiels