Existence and uniqueness results for a singular Kirchhoff type equation on a closed manifold

DOI10.1016/j.difgeo.2023.102094OpenAlexW4389802744MaRDI QIDQ6192119

Kamel Tahri, Mohamed El Farouk Ounane

Publication date: 11 March 2024

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2023.102094

zbMATH Keywords

Riemannian manifoldexistence and uniquenesssingular Kirchhoff-type equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Elliptic equations on manifolds, general theory (58J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Compactness and the Palais-Smale property for critical Kirchhoff equations in closed manifolds
• A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
• Initial-boundary value problems for an extensible beam
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
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