Nonlocal Kirchhoff-type problem involving variable exponent and logarithmic nonlinearity on compact Riemannian manifolds

Nonlocal Kirchhoff-type problem involving variable exponent and logarithmic nonlinearity on compact Riemannian manifolds

The goal of this paper is to investigate the existence and multiplicity of nontrivial weak solutions for a nonlocal Kirchhoff-type problem with variable exponent and logarithmic nonlinearity on compact Riemannian manifolds. The proof of our main result uses the Nehari manifold approach.

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Veröffentlicht in:Analysis and mathematical physics 2023-06, Vol.13 (3), Article 48
Hauptverfasser: Bouaam, Hind, El Ouaarabi, Mohamed, Allalou, Chakir
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Logarithms
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Nonlinearity
Riemann manifold
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Zusammenfassung:The goal of this paper is to investigate the existence and multiplicity of nontrivial weak solutions for a nonlocal Kirchhoff-type problem with variable exponent and logarithmic nonlinearity on compact Riemannian manifolds. The proof of our main result uses the Nehari manifold approach.
ISSN:1664-2368
1664-235X
DOI:10.1007/s13324-023-00810-0