Francesca Gladiali

Some nonexistence results for positive solutions of elliptic equations in unbounded domains

We prove some Liouville type theorems for positive solutions of semilinear elliptic equations in the whole space

Some Results for the Gelfand's Problem

\mathbb{R}^N

Uniqueness of ground states for a class of quasi-linear elliptic equations

,

Strict convexity of level sets of solutions of some nonlinear elliptic equations

N\geq 3

SYMMETRY BREAKING AND MORSE INDEX OF SOLUTIONS OF NONLINEAR ELLIPTIC PROBLEMS IN THE PLANE

, and in the half space

Bifurcation and asymptotic analysis for a class of supercritical elliptic problems in an exterior domain

\mathbb{R}^N_{+}

On explosive solutions for a class of quasi-linear elliptic equations

with different boundary conditions, using the technique based on the Kelvin transform and the Alexandrov-Serrin method of moving hyperplanes. In particular we get new nonexistence results for elliptic problems in half spaces satisfying mixed (Dirichlet-Neumann) boundary conditions.

Nonradial sign changing solutions to Lane–Emden problem in an annulus

Abstract Under suitable assumptions on Ω ⊂ ℝ2, we prove nondegeneracy, uniqueness and star-shapedness of the level sets of solutions to the problem where as λ → 0.

A nonradial bifurcation result with applications to supercritical problems

Abstract. We prove the uniqueness of radial positive solutions to a class of quasi-linear elliptic problems containing in particular the quasi-linear Schrödinger equation.

Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus

In this paper we study the convexity of the level sets of solutions of the problem where f is a suitable function with subcritical or critical growth. Under some assumptions on the Gauss curvature of ∂Ω, we prove that the level sets of the solution of (0.1) are strictly convex.