论 RN 中分数 p-Laplacian 算子的 Pohozaev 特性

IF 0.8 3区数学 Q2 MATHEMATICS Bulletin of the London Mathematical Society Pub Date : 2024-04-03 DOI:10.1112/blms.13039

Vincenzo Ambrosio

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摘要

在本文中，我们证明了一个涉及分数 p$p$-Laplacian 算子和 Berestycki-Lions 型非线性的非线性问题存在一个非微不足道的弱解。这个解满足波霍扎耶夫特性。此外，我们还证明了任何足够光滑的解都满足 Pohozaev 特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Pohozaev identity for the fractional p $p$ -Laplacian operator in R N $\mathbb {R}^N$

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.

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