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Existence of a positive solution to Kirchhoff type problems without compactness conditions

Li, Yuhua
; 
Li, Fuyi
; 
Shi, Junping
; 
Shi, Junping
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.
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2012-01-01
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Mathematics
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Existence_of_a_positive_solution_to_Kirchhoff_type_problems_without_compactness_conditions.pdf
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Mathematics
DOI
10.1016/j.jde.2012.05.017
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https://scholarworks.wm.edu/handle/internal/665
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