Nonlocal τ(m)‐Laplacian‐like problem with logarithmic nonlinearity and without Ambrosetti–Rabinowitz condition on compact Riemannian manifolds-Reference-Cited by-同舟云学术

Nonlocal τ(m)‐Laplacian‐like problem with logarithmic nonlinearity and without Ambrosetti–Rabinowitz condition on compact Riemannian manifolds

Published:2024-01-21 Issue:7 Volume:47 Page:6097-6116
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 Mohamed²^ORCID,Allalou Chakir¹^ORCID,Melliani Said¹^ORCID

Affiliation:

1. Laboratory LMACS, Faculty of Science and Technics of Beni Mellal Sultan Moulay Slimane University Beni Mellal Morocco

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

Abstract

By means of variational methods, we study the existence and multiplicity of nontrivial weak solutions for a nonlocal ‐Laplacian‐like problem, arising from a capillarity phenomenon, with logarithmic nonlinearity and without the Ambrosetti–Rabinwitz condition, in the setting of variable exponents of Sobolev spaces in compact Riemannian manifolds.

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9909

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