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Existence of solutions for resonant double phase problems with mixed boundary value conditions

Author

Listed:
  • Yihao Yang

    (Jiangxi University of Science and Technology)

  • Wulong Liu

    (Jiangxi University of Science and Technology
    Yantai University)

  • Patrick Winkert

    (Technische Universität Berlin)

  • Xingye Yan

    (Jiangxi University of Science and Technology)

Abstract

We study a double phase problem with mixed boundary value conditions with reaction terms that resonate at the first eigenvalue of the related eigenvalue problem. Based on the maximum principle and homological local linking, we are going to prove the existence of at least two bounded nontrivial solutions for this problem.

Suggested Citation

  • Yihao Yang & Wulong Liu & Patrick Winkert & Xingye Yan, 2023. "Existence of solutions for resonant double phase problems with mixed boundary value conditions," Partial Differential Equations and Applications, Springer, vol. 4(3), pages 1-17, June.
  • Handle: RePEc:spr:pardea:v:4:y:2023:i:3:d:10.1007_s42985-023-00237-z
    DOI: 10.1007/s42985-023-00237-z
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    References listed on IDEAS

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    1. Kanishka Perera, 1998. "Homological local linking," Abstract and Applied Analysis, Hindawi, vol. 3, pages 1-9, January.
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