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math.CO2016
Ramsey properties of nonlinear Diophantine equations
Mauro Di Nasso, Lorenzo Luperi Baglini
We prove general sufficient and necessary conditions for the partition regularity of Diophantine equations, which extend the classic Rado's Theorem by covering large classes of non…
math.AP2016
Generalized solutions in PDE's and the Burgers' equation
Vieri Benci, Lorenzo Luperi Baglini
In many situations, the notion of function is not sufficient and it needs to be extended. A classical way to do this is to introduce the notion of weak solution; another approach i…