R. Manfrin

collaborators

2 papers

math.AP2026

A Kirchhoff equation with infinite conservation laws

Chiara Boiti, Renato Manfrin

We show here that the quasilinear Kirchhoff-Pokhozhaev equation $u_{tt} - (a \int_{R^{n}} ∣\nabla u ∣^{2} d x + b)^{- 2} I^ u = 0,$ with $a \neq = 0$ , admits conservation law…

math.AP2025

A third-order conservation law for the Kirchhoff-Pokhozhaev equation

Chiara Boiti, Renato Manfrin

We prove that the special Kirchhoff equation studied by Pokhozhaev admits a third-order conservation law. We further show that if the energy of the solution is sufficiently small,…