Document Type
Article
Department/Program
Mathematics
Journal Title
Journal of Differential Equations
Pub Date
2012
Volume
253
Issue
7
First Page
2285
Abstract
The existence of a positive solution to a Kirchhoff type problem on R-N is proved by using variational methods, and the new result does not require usual compactness conditions. A cut-off functional is utilized to obtain the bounded Palais-Smale sequences. (c) 2012 Elsevier Inc. All rights reserved.
Recommended Citation
Li, Yuhua; Li, Fuyi; Shi, Junping; and Shi, Junping, Existence of a positive solution to Kirchhoff type problems without compactness conditions (2012). Journal of Differential Equations, 253(7), 2285-2294.
10.1016/j.jde.2012.05.017
DOI
10.1016/j.jde.2012.05.017