Three Solutions of a Kirchhoff Type Problem Involving Critical Growth and Near Resonance

Chun-Yu Lei (), Hong-Min Suo () and Chang-Mu Chu ()
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Chun-Yu Lei: GuiZhou Minzu University
Hong-Min Suo: GuiZhou Minzu University
Chang-Mu Chu: GuiZhou Minzu University

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 1, 99-112

Abstract: Abstract The purpose of this work is to study a Kirchhoff type equation involving critical and singular nonlinearities. Based on variational methods, we obtain the existence of three nontrivial solutions for this problem.

Keywords: Kirchhoff type equation; critical exponents; near resonance; variational methods (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0254-y

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