On the Pohozaev identity for the fractional p-Laplacian operator in RN

被引：2

作者：

Ambrosio, Vincenzo ^{[1
,2
]}

机构：

[1] Univ Politecn Marche, Dipartimento Ingn Ind & Sci Matemat, Ancona, Italy

[2] Univ Politecn Marche, Dipartimento Ingn Ind & Sci Matemat, Via Brecce Bianche 12, I-60131 Ancona, Italy

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2024年 / 56卷 / 06期

关键词：

SCALAR FIELD-EQUATIONS; ELLIPTIC-EQUATIONS; HOLDER REGULARITY; EXTENSION; SYMMETRY;

D O I：

10.1112/blms.13039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show the existence of a nontrivial weak solution for a nonlinear problem involving the fractional p-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.

引用

页码：1999 / 2013

页数：15

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