Isabeau Birindelli

Liouville theorems for semilinear equations on the Heisenberg group

Abstract In this paper we consider problems of the type Δ H u + h(ϰ)u p ⩾ 0, in D ⊂ R 2n + 1 u≥0 in D , where ΔH is the Heisenberg Laplacian, D is an unbounded domain and h is a non negative function. We prove that, under suitable conditions on h, p and D, the only solution of (1) is u ≡ 0.

Liouville theorems for elliptic inequalities and applications

In this paper we prove nonexistence of positive C2 solutions for systems of semilinear elliptic inequalities, for polyharmonic semilinear inequalities in cones and, under better conditions on the nonlinearity, for bounded positive solutions of elliptic semilinear equations in half spaces. Using a blow-up argument, these results allow us to prove a-priori bounds for a class of semilinear elliptic systems of equations in bounded domains.

Bifurcation problems for superlinear elliptic indefinite equations

In this paper, we are dealing with the following superlinear elliptic problem:

ABP and global Hölder estimates for fully nonlinear elliptic equations in unbounded domains

\cases -\Delta u = \lambda u+h(x)u^p &\text{in }{\mathbb R}^N,\\ u\geq 0,\endcases\tag{P}

Existence and Regularity Results for Fully Nonlinear Operators on the Model of the Pseudo Pucci’s Operators

where

Concentration and energy invariance for a class of fully nonlinear elliptic equations

h

Modern Geometry versus Modern Architecture

is a

Sur les équations de Lane–Emden avec opérateurs non linéaires

C^2