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arXiv · 2007.14119

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

Stefano Biagi·Andrea Pinamonti·Eugenio Vecchi
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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.

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Stefano Biagi, Andrea Pinamonti, Eugenio Vecchi. 2020-07-28. Pohozaev-type identities for differential operators driven by homogeneous vector fields. https://arxiv.org/abs/2007.14119

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