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math.AP2023
Semilinear equations in bounded cylinders: Morse index and bifurcation from one-dimensional solutions
Danilo Gregorin Afonso
In this paper, we study semilinear elliptic equations in domains where there is a natural class of solutions, which depend only on one variable, and whose simple geometry reflects…
math.AP2023
Energy stability for a class of semilinear elliptic problems
Danilo Gregorin Afonso, Alessandro Iacopetti, Filomena Pacella
In this paper, we consider semilinear elliptic problems in a bounded domain contained in a given unbounded Lipschitz domain . Our aim is to stud…