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- Title
On sequences of homoclinic solutions for fractional discrete $ p $-Laplacian equations.
- Authors
Ju, Chunming; Bisci, Giovanni Molica; Zhang, Binlin
- Abstract
In this paper, we consider the following discrete fractional p -Laplacian equations: (− Δ 1 ) p s u (a) + V (a) | u (a) | p − 2 u (a) = λ f (a , u (a)) , in Z , where λ is the parameter and f (a , u (a)) satisfies no symmetry assumption. As a result, a specific positive parameter interval is determined by some requirements for the nonlinear term near zero, and then infinitely many homoclinic solutions are obtained by using a special version of Ricceri's variational principle. In this paper, we consider the following discrete fractional -Laplacian equations: where is the parameter and satisfies no symmetry assumption. As a result, a specific positive parameter interval is determined by some requirements for the nonlinear term near zero, and then infinitely many homoclinic solutions are obtained by using a special version of Ricceri's variational principle.
- Subjects
VARIATIONAL principles; EQUATIONS; SYMMETRY
- Publication
Communications in Analysis & Mechanics (CAM), 2023, Vol 15, Issue 4, p1
- ISSN
2836-3310
- Publication type
Article
- DOI
10.3934/cam.2023029