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math.AP2023
On the critical points of solutions of PDE in a non-convex settings: the case of concentrating solutions
Francesca Gladiali, Massimo Grossi
In this paper we are concerned with the number of critical points of solutions of nonlinear elliptic equations. We will deal with the case of non-convex, contractile and non-contra…
math.DG2023★ 1 cited
On the critical points of semi-stable solutions on convex domains of Riemannian surfaces
Massimo Grossi, Luigi Provenzano
In this paper we consider semilinear equations with Dirichlet boundary conditions on certain convex domains of the two dimensional model spaces of constant curvature. We…
math.AP2023
On the shape of solutions to elliptic equations in possibly non convex planar domains
Luca Battaglia, Fabio De Regibus, Massimo Grossi
In this note we prove uniqueness of the critical point for positive solutions of elliptic problems in bounded planar domains: we first examine the Poisson problem - Delta u = f(x,y…