Existence of infinitely many solutions of p-Laplacian equations in R^N+

In this article, we study the p-Laplacian equation $$\displaylines{ -\Delta_p u=0, \quad \text{in } \mathbb{R}^N_{+},\cr |\nabla u|^{p-2}\frac{\partial u}{\partial n}+a(y)|u|^{p-2}u=|u|^{q-2}u , \quad \text{on } \partial\mathbb{R}^N_{+}=\mathbb{R}^{N-1}, }$$ where $1<p<N$, $p<q<\b...

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Bibliographic Details
Main Authors: Junfang Zhao, Xiangqing Liu, Jiaquan Liu
Format: Article
Language:English
Published: Texas State University 2019-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/87/abstr.html