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In this paper, we deal with the multiplicity results for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity in ℝ N $\mathbb {R}^{N}$ . By using the second concentration-compactness principle and concentration-compactness… Click to show full abstract
In this paper, we deal with the multiplicity results for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity in ℝ N $\mathbb {R}^{N}$ . By using the second concentration-compactness principle and concentration-compactness principle at infinity to prove that the ( P S ) c condition holds locally and together with the new version of symmetric mountain pass theorem of Kajikiya, we prove that the problem admits infinitely many solutions under suitable conditions.
Journal Title: Journal of Dynamical and Control Systems
Year Published: 2019
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