Multiple positive solutions for elliptic problem with concave and convex nonlinearities

In this article, we consider the existence of multiple solutions to the elliptic problem $$\displaylines{ -\Delta u=\lambda u^q+u^s+\mu u^p\quad \text{in } \Omega,\cr u>0\quad \text{in } \Omega,\cr u=0\quad \text{on } \partial\Omega, }$$ where $\Omega\subseteq \mathbb{R}^N (N\geq3)$ is a...

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Bibliographic Details
Main Authors: Jiayin Liu, Lin Zhao, Peihao Zhao
Format: Article
Language:English
Published: Texas State University 2015-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/78/abstr.html