p-Kirchhoff type problem with a general critical nonlinearity

In this article, we consider the p-Kirchhoff type problem $$ \Big(1+\lambda\int_{\mathbb{R}^N}|\nabla u|^p +\lambda b\int_{\mathbb{R}^N}|u|^p\Big)(-\Delta_p u+b|u|^{p-2}u) =f(u), x\in\mathbb{R}^N, $$ where $\lambda>0$, the nonlinearity f can reach critical growth. Without the Ambrosetti-Ro...

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Bibliographic Details
Main Authors: Huixing Zhang, Baiquan Lin
Format: Article
Language:English
Published: Texas State University 2018-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/89/abstr.html