Permanent sets of measures charging no exceptional sets and the Feynman-Kac Formula.
Perron-Frobenius operators and the Klein-Gordon equation
For a smooth curve and a set in the plane , let be the space of finite Borel measures in the plane supported on , absolutely continuous with respect to the arc length and whose Fourier transform vanishes on . Following [12], we say that is a Heisenberg uniqueness pair if . In the context of a hyperbola , the study of Heisenberg uniqueness pairs is the same as looking for uniqueness sets of a collection of solutions to the Klein-Gordon equation. In this work, we mainly address the...
Perturbation by differences of unbounded potentials.
Perturbation of a biharmonic eigenvalue problem
Perturbation of Harmonic Spaces and Construction of Semigroups.
Perturbation of Harmonie Spaces.
Perturbation theory for nonlinear Dirichlet problems.
Perturbations and nonlinear harmonic spaces. (Perturbations et espaces harmoniques non linéares.)
p-harmonic equation and quasiregular mappings
p-harmonic functions on graphs and manifolds.
Phragmén-Lindelöf theorems for subharmonic functions on the unit disk.
Planar harmonic univalent and related mappings.
Plateau-Stein manifolds
We study/construct (proper and non-proper) Morse functions f on complete Riemannian manifolds X such that the hypersurfaces f(x) = t for all −∞ < t < +∞ have positive mean curvatures at all non-critical points x ∈ X of f. We show, for instance, that if X admits no such (not necessarily proper) function, then it contains a (possibly, singular) complete (possibly, compact) minimal hypersurface of finite volume.
Plurifine potential theory
We give an overview of the recent developments in plurifine pluripotential theory, i.e. the theory of plurifinely plurisubharmonic functions.
Pluriharmonic extension in proper image domains
Let be a bounded hyperconvex domain in and set , j=1,...,s, s ≥ 3. Also let be the image of D under the proper holomorphic map π. We characterize those continuous functions that can be extended to a real-valued pluriharmonic function in .
Pluriharmonic interpolation and hulls of C1 curves in the unit sphere.
Pluriharmonically dentable complex Banach spaces.
Pluriharmonicity in terms of harmonic slices.
Pluripotential theory, semigroups and boundary behavior of infinitesimal generators in strongly convex domains
Plurisubharmonic extension in non-degenerate analytic polyhedra.