Pohozaev-type identities for differential operators driven by homogeneous vector fields
Analysis of PDEs
2020-07-29 v1
Abstract
We prove Pohozaev-type identities for smooth solutions of Euler-Lagrange equations of second and fourth order that arise from functional depending on homogeneous H\"{o}rmander vector fields. We then exploit such integral identities to prove non-existence results for the associated boundary value problems.
Cite
@article{arxiv.2007.14119,
title = {Pohozaev-type identities for differential operators driven by homogeneous vector fields},
author = {Stefano Biagi and Andrea Pinamonti and Eugenio Vecchi},
journal= {arXiv preprint arXiv:2007.14119},
year = {2020}
}