3 papers
math.AP2026
A Kirchhoff equation with infinite conservation laws
Chiara Boiti, Renato Manfrin
We show here that the quasilinear Kirchhoff-Pokhozhaev equation with , admits conservation laws…
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,…
math.AP2023
Notes on a paper of Pokhozhaev
Chiara Boiti, Renato Manfrin
We prove a second order identity for the Kirchhoff equation which yields, in particular, a simple and direct proof of Pokhozhaev's second order conservation law when the nonlineari…