Positive ground state solution for Kirchhoff equations with subcritical growth and zero mass

In this article, we study the Kirchhoff equation $$\displaylines{ -\Big(a+b\int_{\mathbb{R}^N}|\nabla u|^{2}dx\Big)\Delta u=K(x)f(u), \quad x\in \mathbb{R}^N,\cr u\in D^{1,2}(\mathbb{R}^N), }$$ where a>0, b>0 and $N\geq3$. Under suitable conditions on K and f, we obtain four existence...

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Bibliographic Details
Main Authors: Yu Duan, Jiu Liu, Chun-Lei Tang
Format: Article
Language:English
Published: Texas State University 2015-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/262/abstr.html