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math.AP2023★ 6 cited
Layered patterns in reaction-diffusion models with Perona-Malik diffusions
Alessandra De Luca, Raffaele Folino, Marta Strani
In this paper we deal with a reaction-diffusion equation in a bounded interval of the real line with a nonlinear diffusion of Perona-Malik's type and a balanced bistable reaction t…
math.AP2023
Minimization of a Ginzburg-Landau functional with mean curvature operator in 1-D
Raffaele Folino, Corrado Lattanzio
The aim of this paper is to investigate the minimization problem related to a Ginzburg-Landau energy functional, where in particular a nonlinear diffusion of mean curvature-type is…