5 citations · 5 across the 3 of their papers we have counts for
5 papers
Some properties of plurisubharmonic functions
Alano Ancona, Lucas Kaufmann
Two properties of plurisubharmonic functions are proven. The first result is a Skoda type integrability theorem with respect to a Monge-Ampère mass with Hölder continuous potential…
Positive solutions of a class of semilinear equations with absorption and schrödinger equations
Alano Ancona, Moshe Marcus
Several results about positive solutions -in a Lipschitz domain- of a nonlinear elliptic equation in a general form are proved, extending thus some known facts…
Positive solutions of Schrödinger equations and fine regularity of boundary points
Ancona Alano
Given a Lipschitz domain in and a nonnegative potential in such that is bounded in we study the fine regularity of boun…
On Positive Harmonic Functions in Cones and Cylinders
Alano Ancona
We first consider a question raised by Alexander Eremenko and show that if is an arbitrary connected open cone in , then any two positive harmonic functions in $…
Nodal domains a la Courant
A. Ancona, B. Helffer, T. Hoffmann-Ostenhof
Let $H(\Om_0)=-Δ+V$ be a Schrödinger operator on a bounded domain $\Om_0\subset \mathbb R^d$ with Dirichlet boundary conditions. Suppose that the $\Om_\ell$ (…