We prove Pohozaev-type identities for smooth solutions of Euler-Lagrange equations of second and fourth order that arise from functional a depending on homogeneous Hörmander vector fields. We then exploit such integral identities to prove non-existence results for the associated boundary value problems.
Biagi S., Pinamonti A., Vecchi E. (2021). Pohozaev-type identities for differential operators driven by homogeneous vector fields. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 28(1), 1-25 [10.1007/s00030-020-00664-6].
Pohozaev-type identities for differential operators driven by homogeneous vector fields
Vecchi E.
2021
Abstract
We prove Pohozaev-type identities for smooth solutions of Euler-Lagrange equations of second and fourth order that arise from functional a depending on homogeneous Hörmander vector fields. We then exploit such integral identities to prove non-existence results for the associated boundary value problems.File in questo prodotto:
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Biagi S. Pinamonti A. Vecchi E. Pohozaev-type identities for differential operators driven by homogeneous vector fields.pdf
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