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Sign-changing and constant-sign solutions for elliptic problems involving nonlocal integro-differential operators

Author

Listed:
  • Huiqin Lu

    (Shandong Normal University)

  • Xinmin Qu

    (Shandong Normal University)

  • Jianing Wang

    (Shandong Normal University)

Abstract

This work is devoted to study the existence of sign-changing and constant-sign solutions for nonlinear elliptic problems driven by nonlocal integro-differential operators with subcritical nonlinearity which is not locally Lipschitz continuous and there is no (AR) condition and no any monotony properties. By using some variants of the Mountain Pass Lemma, we show the existence of a positive solution, a negative solution and a sign-changing solution.

Suggested Citation

  • Huiqin Lu & Xinmin Qu & Jianing Wang, 2020. "Sign-changing and constant-sign solutions for elliptic problems involving nonlocal integro-differential operators," Partial Differential Equations and Applications, Springer, vol. 1(5), pages 1-17, October.
    • Handle: RePEc:spr:pardea:v:1:y:2020:i:5:d:10.1007_s42985-020-00028-w
    DOI: 10.1007/s42985-020-00028-w
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