Calculus of Variations and Geometric Measure Theory

S. Biagi - A. Pinamonti - E. Vecchi

Pohozaev-type identities for differential operators driven by homogeneous vector fields

created by pinamonti on 27 Jul 2020
modified on 16 Oct 2020


Accepted Paper

Inserted: 27 jul 2020
Last Updated: 16 oct 2020

Journal: NoDEA
Year: 2020


We prove Pohozaev-type identities for smooth solutions of Euler-Lagrange equations of second and fourth order that arise from functional depending on homogeneous Hormander vector fields. We then exploit such integral identities to prove non-existence results for the associated boundary value problems.