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Infinitely Many Solutions for a Superlinear Fractional - Kirchhoff-Type Problem without the (AR) Condition

Xiangsheng Ren (), Zhenhua Qiao (), Jiabin Zuo () and Lisa Zhu ()

Advances in Mathematical Physics, 2019, vol. 2019, 1-10

Abstract: In this paper, we investigate the existence of infinitely many solutions to a fractional - Kirchhoff-type problem satisfying superlinearity with homogeneous Dirichlet boundary conditions as follows: where is a nonlocal integrodifferential operator with a singular kernel . We only consider the non-Ambrosetti-Rabinowitz condition to prove our results by using the symmetric mountain pass theorem.

Date: 2019
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DOI: 10.1155/2019/1353961

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