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Pohozaev-type identities for differential operators driven by homogeneous vector fields (2007.14119v1)
Published 28 Jul 2020 in math.AP
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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