JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (8): 95-102.doi: 10.6040/j.issn.1671-9352.0.2021.220

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Multiple solutions of fractional p-q-Laplacian system with sign-changing weight functions

LI Chun-ping, SANG Yan-bin*   

  1. School of Science, North University of China, Taiyuan 030051, Shanxi, China
  • Online:2022-08-20 Published:2022-06-29

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Abstract: The multiple solutions of fractional p-q-Laplacian system involving concave-convex nonlinearities and sign-changing weight functions is considered. The system has at least two nontrivial solutions when the pair of the parameters(λ, μ)belongs to a certain subset of Rn are proved by making use of the Nehari manifold and Ekelands variational principle.

Key words: sign-changing weight functions, Nehari manifold, Ekelands variational principle, p-q-Laplacian

CLC Number: 

  • O175.8
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