A note on nonlocal discrete problems involving sign-changing Kirchhoff functions

• Autorzy: Ricceri Biagio

Identyfikatory

DOI

10.7494/OpMath.2025.45.5.657

• Języki publikacji: EN

Abstrakty

EN

In this note, we establish a multiplicity theorem for a nonlocal discrete problem of the type [formula] assuming a > 0 and (for the first time) b < 0.

Słowa kluczowe

EN

minimax theorems; Kirchhoff functions; difference equations; variational methods; multiplicity of solutions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2025
• Tom: Vol. 45, no. 5
• Strony: 657--663
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Ricceri Biagio

• University of Catania, Department of Mathematics and Computer Science, Viale A. Doria 6, 95125 Catania, Italy

• https://orcid.org/0009-0000-3309-411X

Bibliografia

• [1] Y.H. Kim, Existence and uniqueness of solutions to non-local problems of Brezis-Oswald type and its application, Fractal Fract. 8 (2024), 622.
• [2] Y.H. Kim, Existence and uniqueness of solution to the p-Laplacian equations involving discontinuous Kirchhoff functions via a global minimum principle of Ricceri, Minimax Theory Appl. 10 (2025), 34–42.
• [3] I.H. Kim, Y.H. Kim, Existence, uniqueness, and localization of positive solutions to nonlocal problems of the Kirchhoff type via the global minimum principle of Ricceri, AIMS Mathematics 10 (2025), no. 3, 4540–4557.
• [4] P. Pucci, V.D. Rădulescu, Progress in nonlinear Kirchhoff problems, Nonlinear Anal. 186 (2019), 1–5.
• [5] B. Ricceri, Multiplicity theorems involving functions with non-convex range, Stud. Univ. Babeş–Bolyai Math. 68 (2023), 125–137.
• [6] B. Ricceri, Existence, uniqueness, localization and minimization property of positive solutions for non-local problems involving discontinuous Kirchhoff functions, Adv. Nonlinear Anal. 13 (2024), Paper no. 20230104.
• [7] B. Ricceri, Multiple critical points in closed sets via minimax theorems, Optimization (2025), 1–15.
• [8] G. Yin, J. Liu, Existence and multiplicity of nontrivial solutions for a nonlocal problem, Bound. Value Probl. 2015 (2015), Article no. 26.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025)