On stable solutions of the weighted Lane-Emden equation involving Grushin operator

In this article, we study the weighted Lane-Emden equationwhere $ N = N_{1}+N_{2}\geq2, $ $ p\geq2 $ and $ q > p-1 $, while $ \omega_{i}(z)\in L^{1}_{\rm loc}(\mathbb{R}^{N})\setminus\{0\}(i = 1, 2) $ are nonnegative functions satisfying $ \omega_{1}(z)\leq C\|z\|_{G}^{\theta} $ and $ \omega_...

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Bibliographic Details
Main Authors: Yunfeng Wei, Hongwei Yang, Hongwang Yu
Format: Article
Language:English
Published: AIMS Press 2021-01-01
Series:AIMS Mathematics
Subjects:
Online Access:http://awstest.aimspress.com/article/doi/10.3934/math.2021159?viewType=HTML