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Existence of positive solutions to Kirchhoff type problems with zero mass

Li, Yuhua
; 
Li, Fuyi
; 
Shi, Junping
; 
Shi, Junping
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.
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2014-01-01
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Mathematics
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existence_of_positive_solutions.pdf
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Mathematics
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10.1016/j.jmaa.2013.08.030
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https://scholarworks.wm.edu/handle/internal/1635
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