Multiple solutions of variable exponential fractional Kirchhoff equation

Yue Wang

doi:10.1117/12.2627601

22 April 2022 Multiple solutions of variable exponential fractional Kirchhoff equation

Yue Wang

Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 121633K (2022) https://doi.org/10.1117/12.2627601
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China

Abstract

In this paper, the existence of two nonnegative solutions for a class of fractional differential equations with kirchhoff terms is studied. Secondly, the Nehari manifold is introduced by the first order derivative function of energy functional and its dual product, and the corresponding fiber mapping is given. Furthermore, the Nehari manifold is divided into three regions by using the value of the second derivative of the fiber mapping. Thus, it is proved that the equation studied in this paper has two different non-negative solutions

Citation Download Citation

Yue Wang "Multiple solutions of variable exponential fractional Kirchhoff equation", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 121633K (22 April 2022); https://doi.org/10.1117/12.2627601

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