Infinitely many solutions for a bi‐nonlocal problem of s(m)‐Kirchhoff‐type without Ambrosetti–Rabinowitz condition-Reference-Cited by-同舟云学术

Infinitely many solutions for a bi‐nonlocal problem of s(m)‐Kirchhoff‐type without Ambrosetti–Rabinowitz condition

Published:2024-07-17 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Bouaam Hind¹,El Ouaarabi Mohamed¹²^ORCID,Melliani Said¹^ORCID

Affiliation:

1. Applied Mathematics and Scientific Computing Laboratory, Faculty of Science and Technics Sultan Moulay Slimane University Beni Mellal Morocco

2. Fundamental and Applied Mathematics Laboratory, Faculty of Sciences Aïn Chock Hassan II University Casablanca Morocco

Abstract

This paper deals with the existence and multiplicity results for a bi‐nonlocal problem without the Ambrosetti–Rabinwitz condition, in the context of variable exponents of Sobolev spaces on compact Riemannian manifolds. Using the mountain pass theorem, we obtain that our problem admits at least nontrivial weak solutions. Also, using the fountain and dual fountain theorems, we obtain the existence of infinitely many nontrivial high or small energy solutions.

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.10339

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