In this paper, we show the existence of a nontrivial weak solution for a nonlinear problem involving the fractional (Formula presented.) -Laplacian operator and a Berestycki–Lions type nonlinearity. This solution satisfies a Pohozaev identity. Moreover, we prove that any sufficiently smooth solution fulfills the Pohozaev identity.
On the Pohozaev identity for the fractional p-Laplacian operator in RN / Ambrosio, V.. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - 56:6(2024), pp. 1999-2013. [10.1112/blms.13039]
On the Pohozaev identity for the fractional p-Laplacian operator in RN
Ambrosio V.
2024-01-01
Abstract
In this paper, we show the existence of a nontrivial weak solution for a nonlinear problem involving the fractional (Formula presented.) -Laplacian operator and a Berestycki–Lions type nonlinearity. This solution satisfies a Pohozaev identity. Moreover, we prove that any sufficiently smooth solution fulfills the Pohozaev identity.File in questo prodotto:
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Ambrosio_pohozaevBLMSWG.pdf
Open Access dal 04/04/2025
Descrizione: This is the peer reviewed version of the following article: Ambrosio, V. (2024), On the Pohozaev identity for the fractional p-Laplacian operator in RN. Bull. London Math. Soc., 56: 1999-2013. https://doi.org/10.1112/blms.13039, which has been published in final form at https://doi.org/10.1112/blms.13039. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited
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