Document Type
Article
Department/Program
Mathematics
Journal Title
Journal of Mathematical Analysis and Applications
Pub Date
2014
Volume
410
Issue
2
First Page
361
Abstract
The existence of positive solutions depending on a nonnegative parameter lambda to Kirchhoff type problems with zero mass is proved by using variational method, and the new result does not require usual compactness conditions. A priori estimate and a Pohozaev type identity are used to obtain the bounded Palais-Smale sequences for constant coefficient nonlinearity, while a cut-off functional and Pohozaev type identity are utilized to obtain the bounded Palais-Smale sequences for the variable-coefficient case. (C) 2013 Elsevier Inc. All rights reserved.
Recommended Citation
Li, Yuhua; Li, Fuyi; Shi, Junping; and Shi, Junping, Existence of positive solutions to Kirchhoff type problems with zero mass (2014). Journal of Mathematical Analysis and Applications, 410(2), 361-374.
10.1016/j.jmaa.2013.08.030
DOI
10.1016/j.jmaa.2013.08.030
