Document Type

Article

Department/Program

Mathematics

Pub Date

2014

Publisher

Journal of Mathematical Analysis and Applications

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.

DOI

10.1016/j.jmaa.2013.08.030

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