Opuscula Math. 45, no. 5 (2025), 623-645
https://doi.org/10.7494/OpMath.2025.45.5.623

 
Opuscula Mathematica

Nontrivial solutions for Neumann fractional p-Laplacian problems

Chun Li
Dimitri Mugnai
Tai-Jin Zhao

Abstract. In this paper, we investigate some classes of Neumann fractional \(p\)-Laplacian problems. We prove the existence and multiplicity of nontrivial solutions for several different nonlinearities, by using variational methods and critical point theory based on cohomological linking.

Referred to by Corrigendum to "Nontrivial solutions for Neumann fractional p-Laplacian problems" [Opuscula Math. 45, no. 5 (2025), 623-645].

Article: Opuscula Math. 45, no. 6 (2025), 857-858, https://doi.org/10.7494/OpMath.2025.45.6.857

Keywords: fractional \(p\)-Laplacian, Neumann boundary condition, linking over cones.

Mathematics Subject Classification: 35A15, 47J30, 35S15, 47G10, 45G05.

Full text (pdf)

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  • Chun Li
  • Southwest University, School of Mathematics and Statistics, Chongqing 400715, P.R. China
  • Tai-Jin Zhao
  • Southwest University, School of Mathematics and Statistics, Chongqing 400715, P.R. China
  • Communicated by Vicenţiu D. Rădulescu.
  • Received: 2025-08-08.
  • Revised: 2025-09-02.
  • Accepted: 2025-09-02.
  • Published online: 2025-09-13.
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Cite this article as:
Chun Li, Dimitri Mugnai, Tai-Jin Zhao, Nontrivial solutions for Neumann fractional p-Laplacian problems, Opuscula Math. 45, no. 5 (2025), 623-645, https://doi.org/10.7494/OpMath.2025.45.5.623

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