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Kirchhoff‐type critical fractional Laplacian system with convolution and magnetic field

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  • Sihua Liang
  • Binlin Zhang

Abstract

In this paper, we consider a class of upper critical Kirchhoff‐type fractional Laplacian system with Choquard nonlinearities and magnetic fields. With the help of the limit index theory and the concentration–compactness principles for fractional Sobolev spaces, we establish the existence of infinitely many nontrivial radial solutions for the above system. A distinguished feature of this paper is that the above Kirchhoff‐type system is degenerate, that is, the Kirchhoff term is zero at zero.

Suggested Citation

  • Sihua Liang & Binlin Zhang, 2024. "Kirchhoff‐type critical fractional Laplacian system with convolution and magnetic field," Mathematische Nachrichten, Wiley Blackwell, vol. 297(7), pages 2667-2685, July.
    • Handle: RePEc:bla:mathna:v:297:y:2024:i:7:p:2667-2685
    DOI: 10.1002/mana.202200172
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