Least energy sign-changing solutions for a class of fractional $ (p, q) $-Laplacian problems with critical growth in $ \mathbb{R}^N $

Least energy sign-changing solutions for a class of fractional $ (p, q) $-Laplacian problems with critical growth in $ \mathbb{R}^N $

This paper considers the following fractional $ (p, q) $-Laplacian equation: $ (-\Delta)_{p}^{s} u+(-\Delta)_{q}^{s} u+V(x)\left(|u|^{p-2} u+|u|^{q-2} u\right) = \lambda f(u)+|u|^{q^*_s-2}u \quad \text { in } \mathbb{R}^{N}, $ where $ s \in(0, 1), \lambda > 0, 2 < p <...

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Bibliographic Details
Main Authors: Kun Cheng, Shenghao Feng, Li Wang, Yuangen Zhan
Format: Article
Language:English
Published: AIMS Press 2023-04-01
Series:AIMS Mathematics
Subjects:
fractional $ (p， q) $-laplacian
sign-changing solutions
critical problem
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023675?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023675?viewType=HTML

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