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- Title
Nonlocal τ(m)-Laplacian-like problem with logarithmic nonlinearity and without Ambrosetti-Rabinowitz condition on compact Riemannian manifolds.
- Authors
Bouaam, Hind; El Ouaarabi, Mohamed; Allalou, Chakir; Melliani, Said
- Abstract
By means of variational methods, we study the existence and multiplicity of nontrivial weak solutions for a nonlocal τ(m)-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.
- Subjects
SOBOLEV spaces; MOUNTAIN pass theorem; COMPACT spaces (Topology); RIEMANNIAN manifolds; CAPILLARITY
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 7, p6097
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9909