3 papers
math.AP2026
Some remarks on patterns for semilinear Neumann problems
Marta Calanchi, Giulio Ciraolo, Francesca Messina
We study semilinear elliptic equations \begin{equation*} \begin{cases} -Îu = f(u) & \text{in } Ω, \\ \partial_νu = 0 & \text{on } \partialΩ, \end{cases} \end{equation*} with ho…
math.AP2025
Symmetry Breaking in Biharmonic Equations with Weighted Exponential Nonlinearities
Calanchi M., Tarsi C
nonlinearities and spatial weights of Hénon type. Motivated by the symmetry-breaking phenomena observed in semilinear second-order problems -- such as those governed by the Hénon…
math.AP2025
Low regularity results for degenerate Poisson problems
Marta Calanchi, Massimo Grossi
In this paper we study the Poisson problem, \[ \begin{cases} -{\rm div}(d^β\nabla u)=f&{\rm in}\ Ω\\ u=0&{\rm on}\ \partialΩ, \end{cases} \] where , $N\ge2…