POSITIVE AND SIGN-CHANGING SOLUTIONS FOR THE FRACTIONAL KIRCHHOFF EQUATION WITH CRITICAL GROWTH

Qiu-Ying Peng; Zeng-Qi Ou; Ying Lv

doi:10.11948/20190406

2021 Volume 11 Issue 2

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Qiu-Ying Peng, Zeng-Qi Ou, Ying Lv. POSITIVE AND SIGN-CHANGING SOLUTIONS FOR THE FRACTIONAL KIRCHHOFF EQUATION WITH CRITICAL GROWTH[J]. Journal of Applied Analysis & Computation, 2021, 11(2): 772-789. doi: 10.11948/20190406

Citation:

Qiu-Ying Peng, Zeng-Qi Ou, Ying Lv. POSITIVE AND SIGN-CHANGING SOLUTIONS FOR THE FRACTIONAL KIRCHHOFF EQUATION WITH CRITICAL GROWTH[J]. Journal of Applied Analysis & Computation, 2021, 11(2): 772-789. doi: 10.11948/20190406

POSITIVE AND SIGN-CHANGING SOLUTIONS FOR THE FRACTIONAL KIRCHHOFF EQUATION WITH CRITICAL GROWTH

1.
School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

Corresponding author: Email address: ly0904@swu.edu.cn(Y. Lv)
Fund Project: The authors were supported by Fundamental Research Funds for the Central Universities (XDJK2020B051)

Abstract

Abstract

We are interested in the existence of positive and sign-changing solutions for a fractional Kirchhoff equation. Under some mild conditions on the potentials $ V $ and $ h $, using variational methods, we prove the existence of positive ground state solutions and least energy sign-changing solutions.
- Fractional Kirchhoff equation /
- variational method /
- positive solution /
- sign-changing solution
MSC: 34C37, 58E05, 70H05

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References

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