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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.