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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10590| Title: | The Pohozaev identity for mixed local-nonlocal operators |
| Authors: | BISWAS, ANUP Dept. of Mathematics |
| Keywords: | Nonexistence results Brezis-Nirenberg problems Systems of equations Integro-differential operators Supercritical nonlinearitiesl 2025-DEC-WEEK2 TOC-DEC-2025 2026 |
| Issue Date: | May-2026 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Mathematical Analysis and Applications, 557(01), 130270, |
| Abstract: | In this article we prove the Pohozaev identity for the semilinear Dirichlet problem of the form −Δu+a(−Δ)su=f(u) in Ω, and u=0 in Ωc, where a is a non-negative constant and Ω is a bounded C2 domain. We also establish similar identity for systems of equations. As applications of this identity, we deduce a unique continuation property of eigenfunctions and also the nonexistence of nontrivial solutions in star-shaped domains under suitable condition on f |
| URI: | https://doi.org/10.1016/j.jmaa.2025.130270 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10590 |
| ISSN: | 0022-247X 1096-0813 |
| Appears in Collections: | JOURNAL ARTICLES |
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