2 papers
math.AP2025
New solutions for the Lane-Emden problem on planar domains
Luca Battaglia, Isabella Ianni, Angela Pistoia
We consider the Lane-Emden problem on planar domains. When the exponent is large, the existence and multiplicity of solutions strongly depend on the geometric properties of the dom…
math.AP2024
On the critical points of Steklov eigenfunctions
Luca Battaglia, Angela Pistoia, Luigi Provenzano
We consider the critical points of Steklov eigenfunctions on a compact, smooth -dimensional Riemannian manifold with boundary . For generic metrics on we est…